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GCD of 874, 382, 699, 936 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, 382, 699, 936 quickly. Get the easiest ways to solve the greatest common divisor of 874, 382, 699, 936 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 382, 699, 936 with Factoring?

Given Input numbers are 874, 382, 699, 936

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936


GCD of numbers is the greatest common divisor

So, the GCD (874, 382, 699, 936) = 1.

Find GCD of 874, 382, 699, 936 using Prime Factorization

Given numbers are 874, 382, 699, 936

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 382 are 2 x 191

Prime factors of 699 are 3 x 233

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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

Steps to Calculate GCD of 874, 382, 699, 936 using LCM Formula

Given numbers are 874, 382, 699, 936

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

Apply this formula for all numbers.

Step1:

LCM(874, 382) = 166934

GCD(874, 382) = ( 874 x 382 ) / 166934

= 874 / 382

= 874


Step2:

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

= 2 / 699

= 2


Step3:

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

= 1 / 936

= 1


So, Greatest Common Divisor of 874, 382, 699, 936 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 382, 699, 936

Given numbers are 874, 382, 699, 936
The greatest common divisor of numbers 874, 382, 699, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 382, 699, 936 is 1.

FAQs on GCD of 874, 382, 699, 936 Calculator

1. What is the GCD of 874, 382, 699, 936?

GCD of given numbers 874, 382, 699, 936 is 1


2. How to calculate the greatest common divisor of 874, 382, 699, 936?

We can find the highest common divisor of 874, 382, 699, 936 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, 382, 699, 936 i.e 1.


3. How can I use the GCD of 874, 382, 699, 936Calculator?

Out the numbers 874, 382, 699, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.