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GCD of 840, 897, 957, 876 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 897, 957, 876 quickly. Get the easiest ways to solve the greatest common divisor of 840, 897, 957, 876 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 897, 957, 876 with Factoring?

Given Input numbers are 840, 897, 957, 876

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 957 :

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

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876


GCD of numbers is the greatest common divisor

So, the GCD (840, 897, 957, 876) = 3.

Find GCD of 840, 897, 957, 876 using Prime Factorization

Given numbers are 840, 897, 957, 876

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 897 are 3 x 13 x 23

Prime factors of 957 are 3 x 11 x 29

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 31

Therefore, GCD of 840, 897, 957, 876 is 3.

Steps to Calculate GCD of 840, 897, 957, 876 using LCM Formula

Given numbers are 840, 897, 957, 876

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

Apply this formula for all numbers.

Step1:

LCM(840, 897) = 251160

GCD(840, 897) = ( 840 x 897 ) / 251160

= 840 / 897

= 840


Step2:

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

= 3 / 957

= 3


Step3:

LCM(3, 876) = 876

GCD(3, 876) = ( 3 x 876 ) / 876

= 3 / 876

= 3


So, Greatest Common Divisor of 840, 897, 957, 876 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 897, 957, 876

Given numbers are 840, 897, 957, 876
The greatest common divisor of numbers 840, 897, 957, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 897, 957, 876 is 3.

FAQs on GCD of 840, 897, 957, 876 Calculator

1. What is the GCD of 840, 897, 957, 876?

GCD of given numbers 840, 897, 957, 876 is 3


2. How to calculate the greatest common divisor of 840, 897, 957, 876?

We can find the highest common divisor of 840, 897, 957, 876 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 840, 897, 957, 876 i.e 3.


3. How can I use the GCD of 840, 897, 957, 876Calculator?

Out the numbers 840, 897, 957, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.