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GCD of 840, 852, 370, 772 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, 852, 370, 772 quickly. Get the easiest ways to solve the greatest common divisor of 840, 852, 370, 772 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 852, 370, 772 with Factoring?

Given Input numbers are 840, 852, 370, 772

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 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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (840, 852, 370, 772) = 2.

Find GCD of 840, 852, 370, 772 using Prime Factorization

Given numbers are 840, 852, 370, 772

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 852 are 2 x 2 x 3 x 71

Prime factors of 370 are 2 x 5 x 37

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 21

Therefore, GCD of 840, 852, 370, 772 is 2.

Steps to Calculate GCD of 840, 852, 370, 772 using LCM Formula

Given numbers are 840, 852, 370, 772

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

Apply this formula for all numbers.

Step1:

LCM(840, 852) = 59640

GCD(840, 852) = ( 840 x 852 ) / 59640

= 840 / 852

= 840


Step2:

LCM(12, 370) = 2220

GCD(12, 370) = ( 12 x 370 ) / 2220

= 12 / 370

= 12


Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2


So, Greatest Common Divisor of 840, 852, 370, 772 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 852, 370, 772

Given numbers are 840, 852, 370, 772
The greatest common divisor of numbers 840, 852, 370, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 852, 370, 772 is 2.

FAQs on GCD of 840, 852, 370, 772 Calculator

1. What is the GCD of 840, 852, 370, 772?

GCD of given numbers 840, 852, 370, 772 is 2


2. How to calculate the greatest common divisor of 840, 852, 370, 772?

We can find the highest common divisor of 840, 852, 370, 772 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, 852, 370, 772 i.e 2.


3. How can I use the GCD of 840, 852, 370, 772Calculator?

Out the numbers 840, 852, 370, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.