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GCD of 630, 370, 700, 870 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, 370, 700, 870 quickly. Get the easiest ways to solve the greatest common divisor of 630, 370, 700, 870 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 630, 370, 700, 870 with Factoring?

Given Input numbers are 630, 370, 700, 870

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870


GCD of numbers is the greatest common divisor

So, the GCD (630, 370, 700, 870) = 10.

Find GCD of 630, 370, 700, 870 using Prime Factorization

Given numbers are 630, 370, 700, 870

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 370 are 2 x 5 x 37

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

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 21 x 51

Therefore, GCD of 630, 370, 700, 870 is 10.

Steps to Calculate GCD of 630, 370, 700, 870 using LCM Formula

Given numbers are 630, 370, 700, 870

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

Apply this formula for all numbers.

Step1:

LCM(630, 370) = 23310

GCD(630, 370) = ( 630 x 370 ) / 23310

= 630 / 370

= 630


Step2:

LCM(10, 700) = 700

GCD(10, 700) = ( 10 x 700 ) / 700

= 10 / 700

= 10


Step3:

LCM(10, 870) = 870

GCD(10, 870) = ( 10 x 870 ) / 870

= 10 / 870

= 10


So, Greatest Common Divisor of 630, 370, 700, 870 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 630, 370, 700, 870

Given numbers are 630, 370, 700, 870
The greatest common divisor of numbers 630, 370, 700, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 370, 700, 870 is 10.

FAQs on GCD of 630, 370, 700, 870 Calculator

1. What is the GCD of 630, 370, 700, 870?

GCD of given numbers 630, 370, 700, 870 is 10


2. How to calculate the greatest common divisor of 630, 370, 700, 870?

We can find the highest common divisor of 630, 370, 700, 870 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, 370, 700, 870 i.e 10.


3. How can I use the GCD of 630, 370, 700, 870Calculator?

Out the numbers 630, 370, 700, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.