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GCD of 968, 574, 842, 852 Calculator

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


Online GCD Calculator is useful to find the GCD of 968, 574, 842, 852 quickly. Get the easiest ways to solve the greatest common divisor of 968, 574, 842, 852 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 968, 574, 842, 852 with Factoring?

Given Input numbers are 968, 574, 842, 852

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852


GCD of numbers is the greatest common divisor

So, the GCD (968, 574, 842, 852) = 2.

Find GCD of 968, 574, 842, 852 using Prime Factorization

Given numbers are 968, 574, 842, 852

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 574 are 2 x 7 x 41

Prime factors of 842 are 2 x 421

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 21

Therefore, GCD of 968, 574, 842, 852 is 2.

Steps to Calculate GCD of 968, 574, 842, 852 using LCM Formula

Given numbers are 968, 574, 842, 852

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

Apply this formula for all numbers.

Step1:

LCM(968, 574) = 277816

GCD(968, 574) = ( 968 x 574 ) / 277816

= 968 / 574

= 968


Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2


Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2


So, Greatest Common Divisor of 968, 574, 842, 852 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 968, 574, 842, 852

Given numbers are 968, 574, 842, 852
The greatest common divisor of numbers 968, 574, 842, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 574, 842, 852 is 2.

FAQs on GCD of 968, 574, 842, 852 Calculator

1. What is the GCD of 968, 574, 842, 852?

GCD of given numbers 968, 574, 842, 852 is 2


2. How to calculate the greatest common divisor of 968, 574, 842, 852?

We can find the highest common divisor of 968, 574, 842, 852 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 968, 574, 842, 852 i.e 2.


3. How can I use the GCD of 968, 574, 842, 852Calculator?

Out the numbers 968, 574, 842, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.