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GCD of 957, 820, 687, 505 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 957, 820, 687, 505 quickly. Get the easiest ways to solve the greatest common divisor of 957, 820, 687, 505 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 957, 820, 687, 505 with Factoring?

Given Input numbers are 957, 820, 687, 505

In the factoring method, we have to find the divisors of all numbers

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505


GCD of numbers is the greatest common divisor

So, the GCD (957, 820, 687, 505) = 1.

Find GCD of 957, 820, 687, 505 using Prime Factorization

Given numbers are 957, 820, 687, 505

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 687 are 3 x 229

Prime factors of 505 are 5 x 101

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

Steps to Calculate GCD of 957, 820, 687, 505 using LCM Formula

Given numbers are 957, 820, 687, 505

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(957, 820) = 784740

GCD(957, 820) = ( 957 x 820 ) / 784740

= 957 / 820

= 957


Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1


So, Greatest Common Divisor of 957, 820, 687, 505 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 957, 820, 687, 505

Given numbers are 957, 820, 687, 505
The greatest common divisor of numbers 957, 820, 687, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 820, 687, 505 is 1.

FAQs on GCD of 957, 820, 687, 505 Calculator

1. What is the GCD of 957, 820, 687, 505?

GCD of given numbers 957, 820, 687, 505 is 1


2. How to calculate the greatest common divisor of 957, 820, 687, 505?

We can find the highest common divisor of 957, 820, 687, 505 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 957, 820, 687, 505 i.e 1.


3. How can I use the GCD of 957, 820, 687, 505Calculator?

Out the numbers 957, 820, 687, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.