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GCD of 442, 374, 628, 359 Calculator

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


Online GCD Calculator is useful to find the GCD of 442, 374, 628, 359 quickly. Get the easiest ways to solve the greatest common divisor of 442, 374, 628, 359 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 442, 374, 628, 359 with Factoring?

Given Input numbers are 442, 374, 628, 359

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359


GCD of numbers is the greatest common divisor

So, the GCD (442, 374, 628, 359) = 1.

Find GCD of 442, 374, 628, 359 using Prime Factorization

Given numbers are 442, 374, 628, 359

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 374 are 2 x 11 x 17

Prime factors of 628 are 2 x 2 x 157

Prime factors of 359 are 359

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

Steps to Calculate GCD of 442, 374, 628, 359 using LCM Formula

Given numbers are 442, 374, 628, 359

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

Apply this formula for all numbers.

Step1:

LCM(442, 374) = 4862

GCD(442, 374) = ( 442 x 374 ) / 4862

= 442 / 374

= 442


Step2:

LCM(34, 628) = 10676

GCD(34, 628) = ( 34 x 628 ) / 10676

= 34 / 628

= 34


Step3:

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

= 2 / 359

= 2


So, Greatest Common Divisor of 442, 374, 628, 359 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 442, 374, 628, 359

Given numbers are 442, 374, 628, 359
The greatest common divisor of numbers 442, 374, 628, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 374, 628, 359 is 1.

FAQs on GCD of 442, 374, 628, 359 Calculator

1. What is the GCD of 442, 374, 628, 359?

GCD of given numbers 442, 374, 628, 359 is 1


2. How to calculate the greatest common divisor of 442, 374, 628, 359?

We can find the highest common divisor of 442, 374, 628, 359 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 442, 374, 628, 359 i.e 1.


3. How can I use the GCD of 442, 374, 628, 359Calculator?

Out the numbers 442, 374, 628, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.