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GCD of 378, 353, 442, 758 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, 353, 442, 758 quickly. Get the easiest ways to solve the greatest common divisor of 378, 353, 442, 758 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 353, 442, 758 with Factoring?

Given Input numbers are 378, 353, 442, 758

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 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 442 :

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

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758


GCD of numbers is the greatest common divisor

So, the GCD (378, 353, 442, 758) = 1.

Find GCD of 378, 353, 442, 758 using Prime Factorization

Given numbers are 378, 353, 442, 758

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 353 are 353

Prime factors of 442 are 2 x 13 x 17

Prime factors of 758 are 2 x 379

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

Steps to Calculate GCD of 378, 353, 442, 758 using LCM Formula

Given numbers are 378, 353, 442, 758

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

Apply this formula for all numbers.

Step1:

LCM(378, 353) = 133434

GCD(378, 353) = ( 378 x 353 ) / 133434

= 378 / 353

= 378


Step2:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1


Step3:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1


So, Greatest Common Divisor of 378, 353, 442, 758 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 353, 442, 758

Given numbers are 378, 353, 442, 758
The greatest common divisor of numbers 378, 353, 442, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 353, 442, 758 is 1.

FAQs on GCD of 378, 353, 442, 758 Calculator

1. What is the GCD of 378, 353, 442, 758?

GCD of given numbers 378, 353, 442, 758 is 1


2. How to calculate the greatest common divisor of 378, 353, 442, 758?

We can find the highest common divisor of 378, 353, 442, 758 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, 353, 442, 758 i.e 1.


3. How can I use the GCD of 378, 353, 442, 758Calculator?

Out the numbers 378, 353, 442, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.