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GCD of 842, 312, 456, 925 Calculator

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


Online GCD Calculator is useful to find the GCD of 842, 312, 456, 925 quickly. Get the easiest ways to solve the greatest common divisor of 842, 312, 456, 925 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 842, 312, 456, 925 with Factoring?

Given Input numbers are 842, 312, 456, 925

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

Divisors of 842 :

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

1, 2, 421, 842

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925


GCD of numbers is the greatest common divisor

So, the GCD (842, 312, 456, 925) = 1.

Find GCD of 842, 312, 456, 925 using Prime Factorization

Given numbers are 842, 312, 456, 925

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 925 are 5 x 5 x 37

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

Steps to Calculate GCD of 842, 312, 456, 925 using LCM Formula

Given numbers are 842, 312, 456, 925

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

Apply this formula for all numbers.

Step1:

LCM(842, 312) = 131352

GCD(842, 312) = ( 842 x 312 ) / 131352

= 842 / 312

= 842


Step2:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2


Step3:

LCM(2, 925) = 1850

GCD(2, 925) = ( 2 x 925 ) / 1850

= 2 / 925

= 2


So, Greatest Common Divisor of 842, 312, 456, 925 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 842, 312, 456, 925

Given numbers are 842, 312, 456, 925
The greatest common divisor of numbers 842, 312, 456, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 312, 456, 925 is 1.

FAQs on GCD of 842, 312, 456, 925 Calculator

1. What is the GCD of 842, 312, 456, 925?

GCD of given numbers 842, 312, 456, 925 is 1


2. How to calculate the greatest common divisor of 842, 312, 456, 925?

We can find the highest common divisor of 842, 312, 456, 925 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 842, 312, 456, 925 i.e 1.


3. How can I use the GCD of 842, 312, 456, 925Calculator?

Out the numbers 842, 312, 456, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.