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GCD of 874, 368, 118, 276 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, 368, 118, 276 quickly. Get the easiest ways to solve the greatest common divisor of 874, 368, 118, 276 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 368, 118, 276 with Factoring?

Given Input numbers are 874, 368, 118, 276

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276


GCD of numbers is the greatest common divisor

So, the GCD (874, 368, 118, 276) = 2.

Find GCD of 874, 368, 118, 276 using Prime Factorization

Given numbers are 874, 368, 118, 276

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 118 are 2 x 59

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 21

Therefore, GCD of 874, 368, 118, 276 is 2.

Steps to Calculate GCD of 874, 368, 118, 276 using LCM Formula

Given numbers are 874, 368, 118, 276

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

Apply this formula for all numbers.

Step1:

LCM(874, 368) = 6992

GCD(874, 368) = ( 874 x 368 ) / 6992

= 874 / 368

= 874


Step2:

LCM(46, 118) = 2714

GCD(46, 118) = ( 46 x 118 ) / 2714

= 46 / 118

= 46


Step3:

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

= 2 / 276

= 2


So, Greatest Common Divisor of 874, 368, 118, 276 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 368, 118, 276

Given numbers are 874, 368, 118, 276
The greatest common divisor of numbers 874, 368, 118, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 368, 118, 276 is 2.

FAQs on GCD of 874, 368, 118, 276 Calculator

1. What is the GCD of 874, 368, 118, 276?

GCD of given numbers 874, 368, 118, 276 is 2


2. How to calculate the greatest common divisor of 874, 368, 118, 276?

We can find the highest common divisor of 874, 368, 118, 276 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, 368, 118, 276 i.e 2.


3. How can I use the GCD of 874, 368, 118, 276Calculator?

Out the numbers 874, 368, 118, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.