Question

Find the greatest number that will divide 93,111,129 leaving remainder 3 in each case

Answer 1

Here is your answer

______________

Firstly, we will subtract 3 from each of the given numbers

93 = 93 - 3 = 90

111 = 111 - 3 = 108

129 = 129 - 3 = 126

Now we will find the HCF of the obtained numbers

90 = 2 * 3 * 3 * 5

108 = 2 * 2 * 3 * 3 * 3

126 = 2 * 3 * 3 * 7

Common factors = 2 * 3 * 3

HCF = 18

∴ The greatest number is 18

Answer 2

SOLUTION :-


Firstly, We have to subtract 3 from all the numbers --


93

=>93 - 3

=>90


111

=>111 - 3

=>108


129

=>129 - 3

=>126



Now , We have to find factors --


90 = 2 × 3 × 3 × 5


108 = 2 × 2 × 3 × 3 × 3


126 = 2 × 3 × 3 × 7


The common factors are 2 × 3 × 3


Therefore ,

H.C.F = 18



EXTRA INFORMATION :-

Question :- What is H.C.F ?

Answer :- The H.C.F is actually of two or more numbers is the highest number that divides the numbers exactly.

Question :- What is full form of H.C.F ?

Answer :- Highest Common Factor ( H.C.F )

Question :- How to find H.C.F ?

Answer :- Follow the steps below :

Step 1 -->We divide the bigger number by smaller number.

Step 2 -->Divide smaller number in step 1 with remainder obtained in step 1.

Step 3 -->Divide divisor of second step with remainder obtained in Step 2.

Step 4 -->We will continue this process till we get remainder 0.

After following these steps , We will get H.C.F.