GCD of 760, 710, 64, 924 Calculator

Given Input numbers are 760, 710, 64, 924

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 760, 710, 64, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 710, 64, 924 is 2.

Therefore, GCD of numbers 760, 710, 64, 924 is 2

Given Input Data is 760, 710, 64, 924

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 710 is 2 x 5 x 71

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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, 710) = 53960

GCD(760, 710) = ( 760 x 710 ) / 53960

GCD(760, 710) = 539600 / 53960

GCD(760, 710) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 64

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

LCM(10, 64) = 320

GCD(10, 64) = ( 10 x 64 ) / 320

GCD(10, 64) = 640 / 320

GCD(10, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 760, 710, 64, 924 is 2

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1. What is the GCD of 760, 710, 64, 924?

GCD of 760, 710, 64, 924 is 2

2. Where do I get the detailed procedure to find GCD of 760, 710, 64, 924?

You can find a detailed procedure to find GCD of 760, 710, 64, 924 on our page.

3. How to find GCD of 760, 710, 64, 924 on a calculator?

You can find the GCD of 760, 710, 64, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.