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GCD of 874, 425, 198, 966 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, 425, 198, 966 quickly. Get the easiest ways to solve the greatest common divisor of 874, 425, 198, 966 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 425, 198, 966 with Factoring?

Given Input numbers are 874, 425, 198, 966

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 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966


GCD of numbers is the greatest common divisor

So, the GCD (874, 425, 198, 966) = 1.

Find GCD of 874, 425, 198, 966 using Prime Factorization

Given numbers are 874, 425, 198, 966

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 425 are 5 x 5 x 17

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

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

Steps to Calculate GCD of 874, 425, 198, 966 using LCM Formula

Given numbers are 874, 425, 198, 966

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

Apply this formula for all numbers.

Step1:

LCM(874, 425) = 371450

GCD(874, 425) = ( 874 x 425 ) / 371450

= 874 / 425

= 874


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1


So, Greatest Common Divisor of 874, 425, 198, 966 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 425, 198, 966

Given numbers are 874, 425, 198, 966
The greatest common divisor of numbers 874, 425, 198, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 425, 198, 966 is 1.

FAQs on GCD of 874, 425, 198, 966 Calculator

1. What is the GCD of 874, 425, 198, 966?

GCD of given numbers 874, 425, 198, 966 is 1


2. How to calculate the greatest common divisor of 874, 425, 198, 966?

We can find the highest common divisor of 874, 425, 198, 966 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, 425, 198, 966 i.e 1.


3. How can I use the GCD of 874, 425, 198, 966Calculator?

Out the numbers 874, 425, 198, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.