GCD of 760, 672, 760, 970 Calculator

Given Input numbers are 760, 672, 760, 970

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 760, 672, 760, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 672, 760, 970 is 2.

Therefore, GCD of numbers 760, 672, 760, 970 is 2

Given Input Data is 760, 672, 760, 970

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 970 is 2 x 5 x 97

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(760, 672) = 63840

GCD(760, 672) = ( 760 x 672 ) / 63840

GCD(760, 672) = 510720 / 63840

GCD(760, 672) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 760

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

LCM(8, 760) = 760

GCD(8, 760) = ( 8 x 760 ) / 760

GCD(8, 760) = 6080 / 760

GCD(8, 760) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 970

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

LCM(8, 970) = 3880

GCD(8, 970) = ( 8 x 970 ) / 3880

GCD(8, 970) = 7760 / 3880

GCD(8, 970) = 2

GCD of 760, 672, 760, 970 is 2

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1. What is the GCD of 760, 672, 760, 970?

GCD of 760, 672, 760, 970 is 2

2. Where do I get the detailed procedure to find GCD of 760, 672, 760, 970?

You can find a detailed procedure to find GCD of 760, 672, 760, 970 on our page.

3. How to find GCD of 760, 672, 760, 970 on a calculator?

You can find the GCD of 760, 672, 760, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.