LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 874, 336, 274, 988 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, 336, 274, 988 quickly. Get the easiest ways to solve the greatest common divisor of 874, 336, 274, 988 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 336, 274, 988 with Factoring?

Given Input numbers are 874, 336, 274, 988

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988


GCD of numbers is the greatest common divisor

So, the GCD (874, 336, 274, 988) = 2.

Find GCD of 874, 336, 274, 988 using Prime Factorization

Given numbers are 874, 336, 274, 988

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 274 are 2 x 137

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 21

Therefore, GCD of 874, 336, 274, 988 is 2.

Steps to Calculate GCD of 874, 336, 274, 988 using LCM Formula

Given numbers are 874, 336, 274, 988

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

Apply this formula for all numbers.

Step1:

LCM(874, 336) = 146832

GCD(874, 336) = ( 874 x 336 ) / 146832

= 874 / 336

= 874


Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2


Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2


So, Greatest Common Divisor of 874, 336, 274, 988 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 336, 274, 988

Given numbers are 874, 336, 274, 988
The greatest common divisor of numbers 874, 336, 274, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 336, 274, 988 is 2.

FAQs on GCD of 874, 336, 274, 988 Calculator

1. What is the GCD of 874, 336, 274, 988?

GCD of given numbers 874, 336, 274, 988 is 2


2. How to calculate the greatest common divisor of 874, 336, 274, 988?

We can find the highest common divisor of 874, 336, 274, 988 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, 336, 274, 988 i.e 2.


3. How can I use the GCD of 874, 336, 274, 988Calculator?

Out the numbers 874, 336, 274, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.