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GCD of 624, 312, 140, 250 Calculator

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


Online GCD Calculator is useful to find the GCD of 624, 312, 140, 250 quickly. Get the easiest ways to solve the greatest common divisor of 624, 312, 140, 250 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 624, 312, 140, 250 with Factoring?

Given Input numbers are 624, 312, 140, 250

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250


GCD of numbers is the greatest common divisor

So, the GCD (624, 312, 140, 250) = 2.

Find GCD of 624, 312, 140, 250 using Prime Factorization

Given numbers are 624, 312, 140, 250

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 624, 312, 140, 250 is 2.

Steps to Calculate GCD of 624, 312, 140, 250 using LCM Formula

Given numbers are 624, 312, 140, 250

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

Apply this formula for all numbers.

Step1:

LCM(624, 312) = 624

GCD(624, 312) = ( 624 x 312 ) / 624

= 624 / 312

= 624


Step2:

LCM(312, 140) = 10920

GCD(312, 140) = ( 312 x 140 ) / 10920

= 312 / 140

= 312


Step3:

LCM(4, 250) = 500

GCD(4, 250) = ( 4 x 250 ) / 500

= 4 / 250

= 4


So, Greatest Common Divisor of 624, 312, 140, 250 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 624, 312, 140, 250

Given numbers are 624, 312, 140, 250
The greatest common divisor of numbers 624, 312, 140, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 312, 140, 250 is 2.

FAQs on GCD of 624, 312, 140, 250 Calculator

1. What is the GCD of 624, 312, 140, 250?

GCD of given numbers 624, 312, 140, 250 is 2


2. How to calculate the greatest common divisor of 624, 312, 140, 250?

We can find the highest common divisor of 624, 312, 140, 250 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 624, 312, 140, 250 i.e 2.


3. How can I use the GCD of 624, 312, 140, 250Calculator?

Out the numbers 624, 312, 140, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.