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GCD of 320, 748, 662, 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 320, 748, 662, 630 quickly. Get the easiest ways to solve the greatest common divisor of 320, 748, 662, 630 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 748, 662, 630 with Factoring?

Given Input numbers are 320, 748, 662, 630

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

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 (320, 748, 662, 630) = 2.

Find GCD of 320, 748, 662, 630 using Prime Factorization

Given numbers are 320, 748, 662, 630

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 662 are 2 x 331

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

The highest common occurrence is 21

Therefore, GCD of 320, 748, 662, 630 is 2.

Steps to Calculate GCD of 320, 748, 662, 630 using LCM Formula

Given numbers are 320, 748, 662, 630

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

Apply this formula for all numbers.

Step1:

LCM(320, 748) = 59840

GCD(320, 748) = ( 320 x 748 ) / 59840

= 320 / 748

= 320


Step2:

LCM(4, 662) = 1324

GCD(4, 662) = ( 4 x 662 ) / 1324

= 4 / 662

= 4


Step3:

LCM(2, 630) = 630

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

= 2 / 630

= 2


So, Greatest Common Divisor of 320, 748, 662, 630 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 748, 662, 630

Given numbers are 320, 748, 662, 630
The greatest common divisor of numbers 320, 748, 662, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 748, 662, 630 is 2.

FAQs on GCD of 320, 748, 662, 630 Calculator

1. What is the GCD of 320, 748, 662, 630?

GCD of given numbers 320, 748, 662, 630 is 2


2. How to calculate the greatest common divisor of 320, 748, 662, 630?

We can find the highest common divisor of 320, 748, 662, 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 320, 748, 662, 630 i.e 2.


3. How can I use the GCD of 320, 748, 662, 630Calculator?

Out the numbers 320, 748, 662, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.