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GCD of 874, 755, 990, 251 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, 755, 990, 251 quickly. Get the easiest ways to solve the greatest common divisor of 874, 755, 990, 251 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 755, 990, 251 with Factoring?

Given Input numbers are 874, 755, 990, 251

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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251


GCD of numbers is the greatest common divisor

So, the GCD (874, 755, 990, 251) = 1.

Find GCD of 874, 755, 990, 251 using Prime Factorization

Given numbers are 874, 755, 990, 251

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 755 are 5 x 151

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 251 are 251

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

Steps to Calculate GCD of 874, 755, 990, 251 using LCM Formula

Given numbers are 874, 755, 990, 251

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

Apply this formula for all numbers.

Step1:

LCM(874, 755) = 659870

GCD(874, 755) = ( 874 x 755 ) / 659870

= 874 / 755

= 874


Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1


Step3:

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

= 1 / 251

= 1


So, Greatest Common Divisor of 874, 755, 990, 251 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 755, 990, 251

Given numbers are 874, 755, 990, 251
The greatest common divisor of numbers 874, 755, 990, 251 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 755, 990, 251 is 1.

FAQs on GCD of 874, 755, 990, 251 Calculator

1. What is the GCD of 874, 755, 990, 251?

GCD of given numbers 874, 755, 990, 251 is 1


2. How to calculate the greatest common divisor of 874, 755, 990, 251?

We can find the highest common divisor of 874, 755, 990, 251 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, 755, 990, 251 i.e 1.


3. How can I use the GCD of 874, 755, 990, 251Calculator?

Out the numbers 874, 755, 990, 251 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.