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GCD of 851, 956, 825, 870 Calculator

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


Online GCD Calculator is useful to find the GCD of 851, 956, 825, 870 quickly. Get the easiest ways to solve the greatest common divisor of 851, 956, 825, 870 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 851, 956, 825, 870 with Factoring?

Given Input numbers are 851, 956, 825, 870

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

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870


GCD of numbers is the greatest common divisor

So, the GCD (851, 956, 825, 870) = 1.

Find GCD of 851, 956, 825, 870 using Prime Factorization

Given numbers are 851, 956, 825, 870

The list of prime factors of all numbers are

Prime factors of 851 are 23 x 37

Prime factors of 956 are 2 x 2 x 239

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

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

Steps to Calculate GCD of 851, 956, 825, 870 using LCM Formula

Given numbers are 851, 956, 825, 870

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

Apply this formula for all numbers.

Step1:

LCM(851, 956) = 813556

GCD(851, 956) = ( 851 x 956 ) / 813556

= 851 / 956

= 851


Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1


Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1


So, Greatest Common Divisor of 851, 956, 825, 870 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 851, 956, 825, 870

Given numbers are 851, 956, 825, 870
The greatest common divisor of numbers 851, 956, 825, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 851, 956, 825, 870 is 1.

FAQs on GCD of 851, 956, 825, 870 Calculator

1. What is the GCD of 851, 956, 825, 870?

GCD of given numbers 851, 956, 825, 870 is 1


2. How to calculate the greatest common divisor of 851, 956, 825, 870?

We can find the highest common divisor of 851, 956, 825, 870 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 851, 956, 825, 870 i.e 1.


3. How can I use the GCD of 851, 956, 825, 870Calculator?

Out the numbers 851, 956, 825, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.