Question

What is the greatest number that will divide 139,184,424, leaving the remainder 4 in each case with explanation.​

Answer 1

Step-by-step explanation:

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420(ii) Now, we will find the H.C.F. of 135, 180 & 420

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420(ii) Now, we will find the H.C.F. of 135, 180 & 420135 = 3 × 3 × 3 × 5

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420(ii) Now, we will find the H.C.F. of 135, 180 & 420135 = 3 × 3 × 3 × 5180 = 2 × 2 × 3 × 3 × 5

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420(ii) Now, we will find the H.C.F. of 135, 180 & 420135 = 3 × 3 × 3 × 5180 = 2 × 2 × 3 × 3 × 5420 = 2 × 2 × 3 × 5 × 7

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420(ii) Now, we will find the H.C.F. of 135, 180 & 420135 = 3 × 3 × 3 × 5180 = 2 × 2 × 3 × 3 × 5420 = 2 × 2 × 3 × 5 × 7∴ H.C.F. of 135, 180 & 420 = 3 × 5 = 15

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420(ii) Now, we will find the H.C.F. of 135, 180 & 420135 = 3 × 3 × 3 × 5180 = 2 × 2 × 3 × 3 × 5420 = 2 × 2 × 3 × 5 × 7∴ H.C.F. of 135, 180 & 420 = 3 × 5 = 15Thus, the greatest number that will divide 139 184 and 424 leaving the remainder 4 in each case is 15.

Since the remainder 4 is being left out in each of the cases, therefore the number which exactly divides will be given as,139 - 4 = 135184 - 4 = 180424 - 4 = 420(ii) Now, we will find the H.C.F. of 135, 180 & 420135 = 3 × 3 × 3 × 5180 = 2 × 2 × 3 × 3 × 5420 = 2 × 2 × 3 × 5 × 7∴ H.C.F. of 135, 180 & 420 = 3 × 5 = 15Thus, the greatest number that will divide 139 184 and 424 leaving the remainder 4 in each case is 15.---------------------------------------

Answer 2

Step-by-step explanation:

remainder in each case=4

The numbers exactly divisible are 139-4=135, 184-4=180, 424-4=420.

The HCF of 135, 180 and 420 will be the required largest number.

HCF=15

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