GCD of 746, 962, 136, 902 Calculator

Given Input numbers are 746, 962, 136, 902

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 746, 962, 136, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 962, 136, 902 is 2.

Therefore, GCD of numbers 746, 962, 136, 902 is 2

Given Input Data is 746, 962, 136, 902

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 746 is 2 x 373

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 902 is 2 x 11 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(746, 962) = 358826

GCD(746, 962) = ( 746 x 962 ) / 358826

GCD(746, 962) = 717652 / 358826

GCD(746, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

GCD of 746, 962, 136, 902 is 2

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1. What is the GCD of 746, 962, 136, 902?

GCD of 746, 962, 136, 902 is 2

2. Where do I get the detailed procedure to find GCD of 746, 962, 136, 902?

You can find a detailed procedure to find GCD of 746, 962, 136, 902 on our page.

3. How to find GCD of 746, 962, 136, 902 on a calculator?

You can find the GCD of 746, 962, 136, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.