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GCD of 630, 831, 507, 153 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, 831, 507, 153 quickly. Get the easiest ways to solve the greatest common divisor of 630, 831, 507, 153 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 630, 831, 507, 153 with Factoring?

Given Input numbers are 630, 831, 507, 153

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 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153


GCD of numbers is the greatest common divisor

So, the GCD (630, 831, 507, 153) = 3.

Find GCD of 630, 831, 507, 153 using Prime Factorization

Given numbers are 630, 831, 507, 153

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 831 are 3 x 277

Prime factors of 507 are 3 x 13 x 13

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 31

Therefore, GCD of 630, 831, 507, 153 is 3.

Steps to Calculate GCD of 630, 831, 507, 153 using LCM Formula

Given numbers are 630, 831, 507, 153

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

Apply this formula for all numbers.

Step1:

LCM(630, 831) = 174510

GCD(630, 831) = ( 630 x 831 ) / 174510

= 630 / 831

= 630


Step2:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3


Step3:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3


So, Greatest Common Divisor of 630, 831, 507, 153 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 630, 831, 507, 153

Given numbers are 630, 831, 507, 153
The greatest common divisor of numbers 630, 831, 507, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 831, 507, 153 is 3.

FAQs on GCD of 630, 831, 507, 153 Calculator

1. What is the GCD of 630, 831, 507, 153?

GCD of given numbers 630, 831, 507, 153 is 3


2. How to calculate the greatest common divisor of 630, 831, 507, 153?

We can find the highest common divisor of 630, 831, 507, 153 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, 831, 507, 153 i.e 3.


3. How can I use the GCD of 630, 831, 507, 153Calculator?

Out the numbers 630, 831, 507, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.