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GCD of 630, 970, 434, 180 Calculator

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


Online GCD Calculator is useful to find the GCD of 630, 970, 434, 180 quickly. Get the easiest ways to solve the greatest common divisor of 630, 970, 434, 180 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 630, 970, 434, 180 with Factoring?

Given Input numbers are 630, 970, 434, 180

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

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180


GCD of numbers is the greatest common divisor

So, the GCD (630, 970, 434, 180) = 2.

Find GCD of 630, 970, 434, 180 using Prime Factorization

Given numbers are 630, 970, 434, 180

The list of prime factors of all numbers are

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

Prime factors of 970 are 2 x 5 x 97

Prime factors of 434 are 2 x 7 x 31

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 630, 970, 434, 180 is 2.

Steps to Calculate GCD of 630, 970, 434, 180 using LCM Formula

Given numbers are 630, 970, 434, 180

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

Apply this formula for all numbers.

Step1:

LCM(630, 970) = 61110

GCD(630, 970) = ( 630 x 970 ) / 61110

= 630 / 970

= 630


Step2:

LCM(10, 434) = 2170

GCD(10, 434) = ( 10 x 434 ) / 2170

= 10 / 434

= 10


Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2


So, Greatest Common Divisor of 630, 970, 434, 180 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 630, 970, 434, 180

Given numbers are 630, 970, 434, 180
The greatest common divisor of numbers 630, 970, 434, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 970, 434, 180 is 2.

FAQs on GCD of 630, 970, 434, 180 Calculator

1. What is the GCD of 630, 970, 434, 180?

GCD of given numbers 630, 970, 434, 180 is 2


2. How to calculate the greatest common divisor of 630, 970, 434, 180?

We can find the highest common divisor of 630, 970, 434, 180 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 630, 970, 434, 180 i.e 2.


3. How can I use the GCD of 630, 970, 434, 180Calculator?

Out the numbers 630, 970, 434, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.