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GCD of 904, 714, 377, 371 Calculator

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


Online GCD Calculator is useful to find the GCD of 904, 714, 377, 371 quickly. Get the easiest ways to solve the greatest common divisor of 904, 714, 377, 371 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 904, 714, 377, 371 with Factoring?

Given Input numbers are 904, 714, 377, 371

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371


GCD of numbers is the greatest common divisor

So, the GCD (904, 714, 377, 371) = 1.

Find GCD of 904, 714, 377, 371 using Prime Factorization

Given numbers are 904, 714, 377, 371

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 377 are 13 x 29

Prime factors of 371 are 7 x 53

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

Steps to Calculate GCD of 904, 714, 377, 371 using LCM Formula

Given numbers are 904, 714, 377, 371

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

Apply this formula for all numbers.

Step1:

LCM(904, 714) = 322728

GCD(904, 714) = ( 904 x 714 ) / 322728

= 904 / 714

= 904


Step2:

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

= 2 / 377

= 2


Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1


So, Greatest Common Divisor of 904, 714, 377, 371 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 904, 714, 377, 371

Given numbers are 904, 714, 377, 371
The greatest common divisor of numbers 904, 714, 377, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 714, 377, 371 is 1.

FAQs on GCD of 904, 714, 377, 371 Calculator

1. What is the GCD of 904, 714, 377, 371?

GCD of given numbers 904, 714, 377, 371 is 1


2. How to calculate the greatest common divisor of 904, 714, 377, 371?

We can find the highest common divisor of 904, 714, 377, 371 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 904, 714, 377, 371 i.e 1.


3. How can I use the GCD of 904, 714, 377, 371Calculator?

Out the numbers 904, 714, 377, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.