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GCD of 874, 470, 125, 829 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, 470, 125, 829 quickly. Get the easiest ways to solve the greatest common divisor of 874, 470, 125, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 470, 125, 829 with Factoring?

Given Input numbers are 874, 470, 125, 829

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (874, 470, 125, 829) = 1.

Find GCD of 874, 470, 125, 829 using Prime Factorization

Given numbers are 874, 470, 125, 829

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 470 are 2 x 5 x 47

Prime factors of 125 are 5 x 5 x 5

Prime factors of 829 are 829

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

Steps to Calculate GCD of 874, 470, 125, 829 using LCM Formula

Given numbers are 874, 470, 125, 829

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

Apply this formula for all numbers.

Step1:

LCM(874, 470) = 205390

GCD(874, 470) = ( 874 x 470 ) / 205390

= 874 / 470

= 874


Step2:

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

= 2 / 125

= 2


Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1


So, Greatest Common Divisor of 874, 470, 125, 829 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 470, 125, 829

Given numbers are 874, 470, 125, 829
The greatest common divisor of numbers 874, 470, 125, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 470, 125, 829 is 1.

FAQs on GCD of 874, 470, 125, 829 Calculator

1. What is the GCD of 874, 470, 125, 829?

GCD of given numbers 874, 470, 125, 829 is 1


2. How to calculate the greatest common divisor of 874, 470, 125, 829?

We can find the highest common divisor of 874, 470, 125, 829 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, 470, 125, 829 i.e 1.


3. How can I use the GCD of 874, 470, 125, 829Calculator?

Out the numbers 874, 470, 125, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.