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GCD of 378, 909, 722, 628 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 909, 722, 628 quickly. Get the easiest ways to solve the greatest common divisor of 378, 909, 722, 628 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 909, 722, 628 with Factoring?

Given Input numbers are 378, 909, 722, 628

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628


GCD of numbers is the greatest common divisor

So, the GCD (378, 909, 722, 628) = 1.

Find GCD of 378, 909, 722, 628 using Prime Factorization

Given numbers are 378, 909, 722, 628

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 909 are 3 x 3 x 101

Prime factors of 722 are 2 x 19 x 19

Prime factors of 628 are 2 x 2 x 157

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 378, 909, 722, 628 using LCM Formula

Given numbers are 378, 909, 722, 628

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

Apply this formula for all numbers.

Step1:

LCM(378, 909) = 38178

GCD(378, 909) = ( 378 x 909 ) / 38178

= 378 / 909

= 378


Step2:

LCM(9, 722) = 6498

GCD(9, 722) = ( 9 x 722 ) / 6498

= 9 / 722

= 9


Step3:

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

= 1 / 628

= 1


So, Greatest Common Divisor of 378, 909, 722, 628 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 909, 722, 628

Given numbers are 378, 909, 722, 628
The greatest common divisor of numbers 378, 909, 722, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 909, 722, 628 is 1.

FAQs on GCD of 378, 909, 722, 628 Calculator

1. What is the GCD of 378, 909, 722, 628?

GCD of given numbers 378, 909, 722, 628 is 1


2. How to calculate the greatest common divisor of 378, 909, 722, 628?

We can find the highest common divisor of 378, 909, 722, 628 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 378, 909, 722, 628 i.e 1.


3. How can I use the GCD of 378, 909, 722, 628Calculator?

Out the numbers 378, 909, 722, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.