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GCD of 840, 951, 621, 789 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, 951, 621, 789 quickly. Get the easiest ways to solve the greatest common divisor of 840, 951, 621, 789 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 951, 621, 789 with Factoring?

Given Input numbers are 840, 951, 621, 789

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 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789


GCD of numbers is the greatest common divisor

So, the GCD (840, 951, 621, 789) = 3.

Find GCD of 840, 951, 621, 789 using Prime Factorization

Given numbers are 840, 951, 621, 789

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 951 are 3 x 317

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 789 are 3 x 263

The highest common occurrence is 31

Therefore, GCD of 840, 951, 621, 789 is 3.

Steps to Calculate GCD of 840, 951, 621, 789 using LCM Formula

Given numbers are 840, 951, 621, 789

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

Apply this formula for all numbers.

Step1:

LCM(840, 951) = 266280

GCD(840, 951) = ( 840 x 951 ) / 266280

= 840 / 951

= 840


Step2:

LCM(3, 621) = 621

GCD(3, 621) = ( 3 x 621 ) / 621

= 3 / 621

= 3


Step3:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3


So, Greatest Common Divisor of 840, 951, 621, 789 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 951, 621, 789

Given numbers are 840, 951, 621, 789
The greatest common divisor of numbers 840, 951, 621, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 951, 621, 789 is 3.

FAQs on GCD of 840, 951, 621, 789 Calculator

1. What is the GCD of 840, 951, 621, 789?

GCD of given numbers 840, 951, 621, 789 is 3


2. How to calculate the greatest common divisor of 840, 951, 621, 789?

We can find the highest common divisor of 840, 951, 621, 789 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, 951, 621, 789 i.e 3.


3. How can I use the GCD of 840, 951, 621, 789Calculator?

Out the numbers 840, 951, 621, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.