GCD of 760, 858, 52, 921 Calculator

Given Input numbers are 760, 858, 52, 921

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 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 760, 858, 52, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 858, 52, 921 is 1.

Therefore, GCD of numbers 760, 858, 52, 921 is 1

Given Input Data is 760, 858, 52, 921

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 858 is 2 x 3 x 11 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 921 is 3 x 307

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, 858) = 326040

GCD(760, 858) = ( 760 x 858 ) / 326040

GCD(760, 858) = 652080 / 326040

GCD(760, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

GCD of 760, 858, 52, 921 is 1

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1. What is the GCD of 760, 858, 52, 921?

GCD of 760, 858, 52, 921 is 1

2. Where do I get the detailed procedure to find GCD of 760, 858, 52, 921?

You can find a detailed procedure to find GCD of 760, 858, 52, 921 on our page.

3. How to find GCD of 760, 858, 52, 921 on a calculator?

You can find the GCD of 760, 858, 52, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.