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GCD of 252, 460, 158, 838 Calculator

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


Online GCD Calculator is useful to find the GCD of 252, 460, 158, 838 quickly. Get the easiest ways to solve the greatest common divisor of 252, 460, 158, 838 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 252, 460, 158, 838 with Factoring?

Given Input numbers are 252, 460, 158, 838

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 158 :

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

1, 2, 79, 158

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838


GCD of numbers is the greatest common divisor

So, the GCD (252, 460, 158, 838) = 2.

Find GCD of 252, 460, 158, 838 using Prime Factorization

Given numbers are 252, 460, 158, 838

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 158 are 2 x 79

Prime factors of 838 are 2 x 419

The highest common occurrence is 21

Therefore, GCD of 252, 460, 158, 838 is 2.

Steps to Calculate GCD of 252, 460, 158, 838 using LCM Formula

Given numbers are 252, 460, 158, 838

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

Apply this formula for all numbers.

Step1:

LCM(252, 460) = 28980

GCD(252, 460) = ( 252 x 460 ) / 28980

= 252 / 460

= 252


Step2:

LCM(4, 158) = 316

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

= 4 / 158

= 4


Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2


So, Greatest Common Divisor of 252, 460, 158, 838 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 252, 460, 158, 838

Given numbers are 252, 460, 158, 838
The greatest common divisor of numbers 252, 460, 158, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 460, 158, 838 is 2.

FAQs on GCD of 252, 460, 158, 838 Calculator

1. What is the GCD of 252, 460, 158, 838?

GCD of given numbers 252, 460, 158, 838 is 2


2. How to calculate the greatest common divisor of 252, 460, 158, 838?

We can find the highest common divisor of 252, 460, 158, 838 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 252, 460, 158, 838 i.e 2.


3. How can I use the GCD of 252, 460, 158, 838Calculator?

Out the numbers 252, 460, 158, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.