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GCD of 740, 370, 428, 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 740, 370, 428, 630 quickly. Get the easiest ways to solve the greatest common divisor of 740, 370, 428, 630 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 740, 370, 428, 630 with Factoring?

Given Input numbers are 740, 370, 428, 630

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 370 :

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

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 (740, 370, 428, 630) = 2.

Find GCD of 740, 370, 428, 630 using Prime Factorization

Given numbers are 740, 370, 428, 630

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 370 are 2 x 5 x 37

Prime factors of 428 are 2 x 2 x 107

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

The highest common occurrence is 21

Therefore, GCD of 740, 370, 428, 630 is 2.

Steps to Calculate GCD of 740, 370, 428, 630 using LCM Formula

Given numbers are 740, 370, 428, 630

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

Apply this formula for all numbers.

Step1:

LCM(740, 370) = 740

GCD(740, 370) = ( 740 x 370 ) / 740

= 740 / 370

= 740


Step2:

LCM(370, 428) = 79180

GCD(370, 428) = ( 370 x 428 ) / 79180

= 370 / 428

= 370


Step3:

LCM(2, 630) = 630

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

= 2 / 630

= 2


So, Greatest Common Divisor of 740, 370, 428, 630 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 740, 370, 428, 630

Given numbers are 740, 370, 428, 630
The greatest common divisor of numbers 740, 370, 428, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 370, 428, 630 is 2.

FAQs on GCD of 740, 370, 428, 630 Calculator

1. What is the GCD of 740, 370, 428, 630?

GCD of given numbers 740, 370, 428, 630 is 2


2. How to calculate the greatest common divisor of 740, 370, 428, 630?

We can find the highest common divisor of 740, 370, 428, 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 740, 370, 428, 630 i.e 2.


3. How can I use the GCD of 740, 370, 428, 630Calculator?

Out the numbers 740, 370, 428, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.