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GCD of 952, 702, 820, 908 Calculator

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


Online GCD Calculator is useful to find the GCD of 952, 702, 820, 908 quickly. Get the easiest ways to solve the greatest common divisor of 952, 702, 820, 908 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 952, 702, 820, 908 with Factoring?

Given Input numbers are 952, 702, 820, 908

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (952, 702, 820, 908) = 2.

Find GCD of 952, 702, 820, 908 using Prime Factorization

Given numbers are 952, 702, 820, 908

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 21

Therefore, GCD of 952, 702, 820, 908 is 2.

Steps to Calculate GCD of 952, 702, 820, 908 using LCM Formula

Given numbers are 952, 702, 820, 908

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

Apply this formula for all numbers.

Step1:

LCM(952, 702) = 334152

GCD(952, 702) = ( 952 x 702 ) / 334152

= 952 / 702

= 952


Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2


Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2


So, Greatest Common Divisor of 952, 702, 820, 908 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 952, 702, 820, 908

Given numbers are 952, 702, 820, 908
The greatest common divisor of numbers 952, 702, 820, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 702, 820, 908 is 2.

FAQs on GCD of 952, 702, 820, 908 Calculator

1. What is the GCD of 952, 702, 820, 908?

GCD of given numbers 952, 702, 820, 908 is 2


2. How to calculate the greatest common divisor of 952, 702, 820, 908?

We can find the highest common divisor of 952, 702, 820, 908 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 952, 702, 820, 908 i.e 2.


3. How can I use the GCD of 952, 702, 820, 908Calculator?

Out the numbers 952, 702, 820, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.