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GCD of 858, 236, 744, 172 Calculator

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


Online GCD Calculator is useful to find the GCD of 858, 236, 744, 172 quickly. Get the easiest ways to solve the greatest common divisor of 858, 236, 744, 172 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 858, 236, 744, 172 with Factoring?

Given Input numbers are 858, 236, 744, 172

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

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 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (858, 236, 744, 172) = 2.

Find GCD of 858, 236, 744, 172 using Prime Factorization

Given numbers are 858, 236, 744, 172

The list of prime factors of all numbers are

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

Prime factors of 236 are 2 x 2 x 59

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 21

Therefore, GCD of 858, 236, 744, 172 is 2.

Steps to Calculate GCD of 858, 236, 744, 172 using LCM Formula

Given numbers are 858, 236, 744, 172

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

Apply this formula for all numbers.

Step1:

LCM(858, 236) = 101244

GCD(858, 236) = ( 858 x 236 ) / 101244

= 858 / 236

= 858


Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2


Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2


So, Greatest Common Divisor of 858, 236, 744, 172 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 858, 236, 744, 172

Given numbers are 858, 236, 744, 172
The greatest common divisor of numbers 858, 236, 744, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 236, 744, 172 is 2.

FAQs on GCD of 858, 236, 744, 172 Calculator

1. What is the GCD of 858, 236, 744, 172?

GCD of given numbers 858, 236, 744, 172 is 2


2. How to calculate the greatest common divisor of 858, 236, 744, 172?

We can find the highest common divisor of 858, 236, 744, 172 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 858, 236, 744, 172 i.e 2.


3. How can I use the GCD of 858, 236, 744, 172Calculator?

Out the numbers 858, 236, 744, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.