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GCD of 874, 818, 764, 674 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, 818, 764, 674 quickly. Get the easiest ways to solve the greatest common divisor of 874, 818, 764, 674 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 818, 764, 674 with Factoring?

Given Input numbers are 874, 818, 764, 674

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 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674


GCD of numbers is the greatest common divisor

So, the GCD (874, 818, 764, 674) = 2.

Find GCD of 874, 818, 764, 674 using Prime Factorization

Given numbers are 874, 818, 764, 674

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 818 are 2 x 409

Prime factors of 764 are 2 x 2 x 191

Prime factors of 674 are 2 x 337

The highest common occurrence is 21

Therefore, GCD of 874, 818, 764, 674 is 2.

Steps to Calculate GCD of 874, 818, 764, 674 using LCM Formula

Given numbers are 874, 818, 764, 674

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

Apply this formula for all numbers.

Step1:

LCM(874, 818) = 357466

GCD(874, 818) = ( 874 x 818 ) / 357466

= 874 / 818

= 874


Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2


Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2


So, Greatest Common Divisor of 874, 818, 764, 674 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 818, 764, 674

Given numbers are 874, 818, 764, 674
The greatest common divisor of numbers 874, 818, 764, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 818, 764, 674 is 2.

FAQs on GCD of 874, 818, 764, 674 Calculator

1. What is the GCD of 874, 818, 764, 674?

GCD of given numbers 874, 818, 764, 674 is 2


2. How to calculate the greatest common divisor of 874, 818, 764, 674?

We can find the highest common divisor of 874, 818, 764, 674 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, 818, 764, 674 i.e 2.


3. How can I use the GCD of 874, 818, 764, 674Calculator?

Out the numbers 874, 818, 764, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.