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GCD of 874, 118, 345, 524 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, 118, 345, 524 quickly. Get the easiest ways to solve the greatest common divisor of 874, 118, 345, 524 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 118, 345, 524 with Factoring?

Given Input numbers are 874, 118, 345, 524

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 118 :

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

1, 2, 59, 118

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524


GCD of numbers is the greatest common divisor

So, the GCD (874, 118, 345, 524) = 1.

Find GCD of 874, 118, 345, 524 using Prime Factorization

Given numbers are 874, 118, 345, 524

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 118 are 2 x 59

Prime factors of 345 are 3 x 5 x 23

Prime factors of 524 are 2 x 2 x 131

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

Steps to Calculate GCD of 874, 118, 345, 524 using LCM Formula

Given numbers are 874, 118, 345, 524

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

Apply this formula for all numbers.

Step1:

LCM(874, 118) = 51566

GCD(874, 118) = ( 874 x 118 ) / 51566

= 874 / 118

= 874


Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2


Step3:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1


So, Greatest Common Divisor of 874, 118, 345, 524 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 118, 345, 524

Given numbers are 874, 118, 345, 524
The greatest common divisor of numbers 874, 118, 345, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 118, 345, 524 is 1.

FAQs on GCD of 874, 118, 345, 524 Calculator

1. What is the GCD of 874, 118, 345, 524?

GCD of given numbers 874, 118, 345, 524 is 1


2. How to calculate the greatest common divisor of 874, 118, 345, 524?

We can find the highest common divisor of 874, 118, 345, 524 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, 118, 345, 524 i.e 1.


3. How can I use the GCD of 874, 118, 345, 524Calculator?

Out the numbers 874, 118, 345, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.