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GCD of 318, 700, 156, 630 Calculator

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


Online GCD Calculator is useful to find the GCD of 318, 700, 156, 630 quickly. Get the easiest ways to solve the greatest common divisor of 318, 700, 156, 630 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 318, 700, 156, 630 with Factoring?

Given Input numbers are 318, 700, 156, 630

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630


GCD of numbers is the greatest common divisor

So, the GCD (318, 700, 156, 630) = 2.

Find GCD of 318, 700, 156, 630 using Prime Factorization

Given numbers are 318, 700, 156, 630

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 21

Therefore, GCD of 318, 700, 156, 630 is 2.

Steps to Calculate GCD of 318, 700, 156, 630 using LCM Formula

Given numbers are 318, 700, 156, 630

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

Apply this formula for all numbers.

Step1:

LCM(318, 700) = 111300

GCD(318, 700) = ( 318 x 700 ) / 111300

= 318 / 700

= 318


Step2:

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

= 2 / 156

= 2


Step3:

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

= 2 / 630

= 2


So, Greatest Common Divisor of 318, 700, 156, 630 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 318, 700, 156, 630

Given numbers are 318, 700, 156, 630
The greatest common divisor of numbers 318, 700, 156, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 700, 156, 630 is 2.

FAQs on GCD of 318, 700, 156, 630 Calculator

1. What is the GCD of 318, 700, 156, 630?

GCD of given numbers 318, 700, 156, 630 is 2


2. How to calculate the greatest common divisor of 318, 700, 156, 630?

We can find the highest common divisor of 318, 700, 156, 630 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 318, 700, 156, 630 i.e 2.


3. How can I use the GCD of 318, 700, 156, 630Calculator?

Out the numbers 318, 700, 156, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.