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GCD of 492, 220, 158, 400 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 220, 158, 400 quickly. Get the easiest ways to solve the greatest common divisor of 492, 220, 158, 400 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 220, 158, 400 with Factoring?

Given Input numbers are 492, 220, 158, 400

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400


GCD of numbers is the greatest common divisor

So, the GCD (492, 220, 158, 400) = 2.

Find GCD of 492, 220, 158, 400 using Prime Factorization

Given numbers are 492, 220, 158, 400

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 158 are 2 x 79

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 492, 220, 158, 400 is 2.

Steps to Calculate GCD of 492, 220, 158, 400 using LCM Formula

Given numbers are 492, 220, 158, 400

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

Apply this formula for all numbers.

Step1:

LCM(492, 220) = 27060

GCD(492, 220) = ( 492 x 220 ) / 27060

= 492 / 220

= 492


Step2:

LCM(4, 158) = 316

GCD(4, 158) = ( 4 x 158 ) / 316

= 4 / 158

= 4


Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2


So, Greatest Common Divisor of 492, 220, 158, 400 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 220, 158, 400

Given numbers are 492, 220, 158, 400
The greatest common divisor of numbers 492, 220, 158, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 220, 158, 400 is 2.

FAQs on GCD of 492, 220, 158, 400 Calculator

1. What is the GCD of 492, 220, 158, 400?

GCD of given numbers 492, 220, 158, 400 is 2


2. How to calculate the greatest common divisor of 492, 220, 158, 400?

We can find the highest common divisor of 492, 220, 158, 400 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 492, 220, 158, 400 i.e 2.


3. How can I use the GCD of 492, 220, 158, 400Calculator?

Out the numbers 492, 220, 158, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.