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GCD of 734, 852, 820, 636 Calculator

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


Online GCD Calculator is useful to find the GCD of 734, 852, 820, 636 quickly. Get the easiest ways to solve the greatest common divisor of 734, 852, 820, 636 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 852, 820, 636 with Factoring?

Given Input numbers are 734, 852, 820, 636

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

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

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636


GCD of numbers is the greatest common divisor

So, the GCD (734, 852, 820, 636) = 2.

Find GCD of 734, 852, 820, 636 using Prime Factorization

Given numbers are 734, 852, 820, 636

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

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

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

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 21

Therefore, GCD of 734, 852, 820, 636 is 2.

Steps to Calculate GCD of 734, 852, 820, 636 using LCM Formula

Given numbers are 734, 852, 820, 636

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

Apply this formula for all numbers.

Step1:

LCM(734, 852) = 312684

GCD(734, 852) = ( 734 x 852 ) / 312684

= 734 / 852

= 734


Step2:

LCM(2, 820) = 820

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

= 2 / 820

= 2


Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2


So, Greatest Common Divisor of 734, 852, 820, 636 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 852, 820, 636

Given numbers are 734, 852, 820, 636
The greatest common divisor of numbers 734, 852, 820, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 852, 820, 636 is 2.

FAQs on GCD of 734, 852, 820, 636 Calculator

1. What is the GCD of 734, 852, 820, 636?

GCD of given numbers 734, 852, 820, 636 is 2


2. How to calculate the greatest common divisor of 734, 852, 820, 636?

We can find the highest common divisor of 734, 852, 820, 636 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 734, 852, 820, 636 i.e 2.


3. How can I use the GCD of 734, 852, 820, 636Calculator?

Out the numbers 734, 852, 820, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.