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GCD of 462, 358, 856, 372 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 358, 856, 372 quickly. Get the easiest ways to solve the greatest common divisor of 462, 358, 856, 372 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 358, 856, 372 with Factoring?

Given Input numbers are 462, 358, 856, 372

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372


GCD of numbers is the greatest common divisor

So, the GCD (462, 358, 856, 372) = 2.

Find GCD of 462, 358, 856, 372 using Prime Factorization

Given numbers are 462, 358, 856, 372

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 358 are 2 x 179

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 21

Therefore, GCD of 462, 358, 856, 372 is 2.

Steps to Calculate GCD of 462, 358, 856, 372 using LCM Formula

Given numbers are 462, 358, 856, 372

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

Apply this formula for all numbers.

Step1:

LCM(462, 358) = 82698

GCD(462, 358) = ( 462 x 358 ) / 82698

= 462 / 358

= 462


Step2:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2


Step3:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2


So, Greatest Common Divisor of 462, 358, 856, 372 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 358, 856, 372

Given numbers are 462, 358, 856, 372
The greatest common divisor of numbers 462, 358, 856, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 358, 856, 372 is 2.

FAQs on GCD of 462, 358, 856, 372 Calculator

1. What is the GCD of 462, 358, 856, 372?

GCD of given numbers 462, 358, 856, 372 is 2


2. How to calculate the greatest common divisor of 462, 358, 856, 372?

We can find the highest common divisor of 462, 358, 856, 372 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 462, 358, 856, 372 i.e 2.


3. How can I use the GCD of 462, 358, 856, 372Calculator?

Out the numbers 462, 358, 856, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.