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GCD of 238, 858, 132, 380 Calculator

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


Online GCD Calculator is useful to find the GCD of 238, 858, 132, 380 quickly. Get the easiest ways to solve the greatest common divisor of 238, 858, 132, 380 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 238, 858, 132, 380 with Factoring?

Given Input numbers are 238, 858, 132, 380

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380


GCD of numbers is the greatest common divisor

So, the GCD (238, 858, 132, 380) = 2.

Find GCD of 238, 858, 132, 380 using Prime Factorization

Given numbers are 238, 858, 132, 380

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 21

Therefore, GCD of 238, 858, 132, 380 is 2.

Steps to Calculate GCD of 238, 858, 132, 380 using LCM Formula

Given numbers are 238, 858, 132, 380

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

Apply this formula for all numbers.

Step1:

LCM(238, 858) = 102102

GCD(238, 858) = ( 238 x 858 ) / 102102

= 238 / 858

= 238


Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2


Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2


So, Greatest Common Divisor of 238, 858, 132, 380 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 238, 858, 132, 380

Given numbers are 238, 858, 132, 380
The greatest common divisor of numbers 238, 858, 132, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 858, 132, 380 is 2.

FAQs on GCD of 238, 858, 132, 380 Calculator

1. What is the GCD of 238, 858, 132, 380?

GCD of given numbers 238, 858, 132, 380 is 2


2. How to calculate the greatest common divisor of 238, 858, 132, 380?

We can find the highest common divisor of 238, 858, 132, 380 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 238, 858, 132, 380 i.e 2.


3. How can I use the GCD of 238, 858, 132, 380Calculator?

Out the numbers 238, 858, 132, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.