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GCD of 840, 131, 851, 172 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, 131, 851, 172 quickly. Get the easiest ways to solve the greatest common divisor of 840, 131, 851, 172 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 131, 851, 172 with Factoring?

Given Input numbers are 840, 131, 851, 172

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 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (840, 131, 851, 172) = 1.

Find GCD of 840, 131, 851, 172 using Prime Factorization

Given numbers are 840, 131, 851, 172

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 131 are 131

Prime factors of 851 are 23 x 37

Prime factors of 172 are 2 x 2 x 43

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 840, 131, 851, 172 using LCM Formula

Given numbers are 840, 131, 851, 172

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

Apply this formula for all numbers.

Step1:

LCM(840, 131) = 110040

GCD(840, 131) = ( 840 x 131 ) / 110040

= 840 / 131

= 840


Step2:

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

= 1 / 851

= 1


Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1


So, Greatest Common Divisor of 840, 131, 851, 172 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 131, 851, 172

Given numbers are 840, 131, 851, 172
The greatest common divisor of numbers 840, 131, 851, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 131, 851, 172 is 1.

FAQs on GCD of 840, 131, 851, 172 Calculator

1. What is the GCD of 840, 131, 851, 172?

GCD of given numbers 840, 131, 851, 172 is 1


2. How to calculate the greatest common divisor of 840, 131, 851, 172?

We can find the highest common divisor of 840, 131, 851, 172 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, 131, 851, 172 i.e 1.


3. How can I use the GCD of 840, 131, 851, 172Calculator?

Out the numbers 840, 131, 851, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.