Question

Find the greatest number that will divide 223 308 366 leaving remainders 7 11 and 15 respectively

Answer 1

Answer:

Answer is 27

Step-by-step explanation:

Using Euclid Division Lemma,We can find the greatest no of of 223,308,366

Answer 2

Question:-

Find the greatest number that will divide 223 308 366 leaving remainders 7 11 and 15 respectively

Given:-

• The greatest number 223 ,308 ,366
• leaving remainders 7 11 and 15

Solution:-

• At first we have to decrease the remainders from the given consider Numbers

We have the consider numbers are

• 223 ,308 and 366

Now, subtracting the remainders from the greatest number s

• 223-7=216
• 308-11=297
• 366-15=351

Now, find the H.C.F of the Number

=>216=2×2×2×3×3×3

=>297=3×3×3×11

=>351=3×3×3×13

Above, noticing factors of the number we get

As we know, to find the HCF we have to search the same factors of each of the number

Therefore,HCF of the number=3×3×3=>27

Hence,

The greatest number is 27