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GCD of 874, 724, 771, 337 Calculator

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


Online GCD Calculator is useful to find the GCD of 874, 724, 771, 337 quickly. Get the easiest ways to solve the greatest common divisor of 874, 724, 771, 337 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 724, 771, 337 with Factoring?

Given Input numbers are 874, 724, 771, 337

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337


GCD of numbers is the greatest common divisor

So, the GCD (874, 724, 771, 337) = 1.

Find GCD of 874, 724, 771, 337 using Prime Factorization

Given numbers are 874, 724, 771, 337

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 724 are 2 x 2 x 181

Prime factors of 771 are 3 x 257

Prime factors of 337 are 337

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

Steps to Calculate GCD of 874, 724, 771, 337 using LCM Formula

Given numbers are 874, 724, 771, 337

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

Apply this formula for all numbers.

Step1:

LCM(874, 724) = 316388

GCD(874, 724) = ( 874 x 724 ) / 316388

= 874 / 724

= 874


Step2:

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

= 2 / 771

= 2


Step3:

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

= 1 / 337

= 1


So, Greatest Common Divisor of 874, 724, 771, 337 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 724, 771, 337

Given numbers are 874, 724, 771, 337
The greatest common divisor of numbers 874, 724, 771, 337 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 724, 771, 337 is 1.

FAQs on GCD of 874, 724, 771, 337 Calculator

1. What is the GCD of 874, 724, 771, 337?

GCD of given numbers 874, 724, 771, 337 is 1


2. How to calculate the greatest common divisor of 874, 724, 771, 337?

We can find the highest common divisor of 874, 724, 771, 337 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 874, 724, 771, 337 i.e 1.


3. How can I use the GCD of 874, 724, 771, 337Calculator?

Out the numbers 874, 724, 771, 337 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.