GCD of 760, 748, 96, 637 Calculator

Given Input numbers are 760, 748, 96, 637

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 760, 748, 96, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 748, 96, 637 is 1.

Therefore, GCD of numbers 760, 748, 96, 637 is 1

Given Input Data is 760, 748, 96, 637

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 637 is 7 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(760, 748) = 142120

GCD(760, 748) = ( 760 x 748 ) / 142120

GCD(760, 748) = 568480 / 142120

GCD(760, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 637

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

LCM(4, 637) = 2548

GCD(4, 637) = ( 4 x 637 ) / 2548

GCD(4, 637) = 2548 / 2548

GCD(4, 637) = 1

GCD of 760, 748, 96, 637 is 1

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• GCD of 379, 974, 91, 151
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1. What is the GCD of 760, 748, 96, 637?

GCD of 760, 748, 96, 637 is 1

2. Where do I get the detailed procedure to find GCD of 760, 748, 96, 637?

You can find a detailed procedure to find GCD of 760, 748, 96, 637 on our page.

3. How to find GCD of 760, 748, 96, 637 on a calculator?

You can find the GCD of 760, 748, 96, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.