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GCD of 100, 836, 550, 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 100, 836, 550, 251 quickly. Get the easiest ways to solve the greatest common divisor of 100, 836, 550, 251 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 836, 550, 251 with Factoring?

Given Input numbers are 100, 836, 550, 251

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 (100, 836, 550, 251) = 1.

Find GCD of 100, 836, 550, 251 using Prime Factorization

Given numbers are 100, 836, 550, 251

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 550 are 2 x 5 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 100, 836, 550, 251 using LCM Formula

Given numbers are 100, 836, 550, 251

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

Apply this formula for all numbers.

Step1:

LCM(100, 836) = 20900

GCD(100, 836) = ( 100 x 836 ) / 20900

= 100 / 836

= 100


Step2:

LCM(4, 550) = 1100

GCD(4, 550) = ( 4 x 550 ) / 1100

= 4 / 550

= 4


Step3:

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

= 2 / 251

= 2


So, Greatest Common Divisor of 100, 836, 550, 251 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 100, 836, 550, 251

Given numbers are 100, 836, 550, 251
The greatest common divisor of numbers 100, 836, 550, 251 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 836, 550, 251 is 1.

FAQs on GCD of 100, 836, 550, 251 Calculator

1. What is the GCD of 100, 836, 550, 251?

GCD of given numbers 100, 836, 550, 251 is 1


2. How to calculate the greatest common divisor of 100, 836, 550, 251?

We can find the highest common divisor of 100, 836, 550, 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 100, 836, 550, 251 i.e 1.


3. How can I use the GCD of 100, 836, 550, 251Calculator?

Out the numbers 100, 836, 550, 251 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.