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GCD of 671, 420, 975, 874 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 671, 420, 975, 874 quickly. Get the easiest ways to solve the greatest common divisor of 671, 420, 975, 874 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 671, 420, 975, 874 with Factoring?

Given Input numbers are 671, 420, 975, 874

In the factoring method, we have to find the divisors of all numbers

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874


GCD of numbers is the greatest common divisor

So, the GCD (671, 420, 975, 874) = 1.

Find GCD of 671, 420, 975, 874 using Prime Factorization

Given numbers are 671, 420, 975, 874

The list of prime factors of all numbers are

Prime factors of 671 are 11 x 61

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 874 are 2 x 19 x 23

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

Steps to Calculate GCD of 671, 420, 975, 874 using LCM Formula

Given numbers are 671, 420, 975, 874

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

Apply this formula for all numbers.

Step1:

LCM(671, 420) = 281820

GCD(671, 420) = ( 671 x 420 ) / 281820

= 671 / 420

= 671


Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1


Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1


So, Greatest Common Divisor of 671, 420, 975, 874 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 671, 420, 975, 874

Given numbers are 671, 420, 975, 874
The greatest common divisor of numbers 671, 420, 975, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 671, 420, 975, 874 is 1.

FAQs on GCD of 671, 420, 975, 874 Calculator

1. What is the GCD of 671, 420, 975, 874?

GCD of given numbers 671, 420, 975, 874 is 1


2. How to calculate the greatest common divisor of 671, 420, 975, 874?

We can find the highest common divisor of 671, 420, 975, 874 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 671, 420, 975, 874 i.e 1.


3. How can I use the GCD of 671, 420, 975, 874Calculator?

Out the numbers 671, 420, 975, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.