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GCD of 250, 718, 120, 416 Calculator

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


Online GCD Calculator is useful to find the GCD of 250, 718, 120, 416 quickly. Get the easiest ways to solve the greatest common divisor of 250, 718, 120, 416 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 250, 718, 120, 416 with Factoring?

Given Input numbers are 250, 718, 120, 416

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

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416


GCD of numbers is the greatest common divisor

So, the GCD (250, 718, 120, 416) = 2.

Find GCD of 250, 718, 120, 416 using Prime Factorization

Given numbers are 250, 718, 120, 416

The list of prime factors of all numbers are

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 718 are 2 x 359

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 21

Therefore, GCD of 250, 718, 120, 416 is 2.

Steps to Calculate GCD of 250, 718, 120, 416 using LCM Formula

Given numbers are 250, 718, 120, 416

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

Apply this formula for all numbers.

Step1:

LCM(250, 718) = 89750

GCD(250, 718) = ( 250 x 718 ) / 89750

= 250 / 718

= 250


Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


Step3:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2


So, Greatest Common Divisor of 250, 718, 120, 416 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 250, 718, 120, 416

Given numbers are 250, 718, 120, 416
The greatest common divisor of numbers 250, 718, 120, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 718, 120, 416 is 2.

FAQs on GCD of 250, 718, 120, 416 Calculator

1. What is the GCD of 250, 718, 120, 416?

GCD of given numbers 250, 718, 120, 416 is 2


2. How to calculate the greatest common divisor of 250, 718, 120, 416?

We can find the highest common divisor of 250, 718, 120, 416 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 250, 718, 120, 416 i.e 2.


3. How can I use the GCD of 250, 718, 120, 416Calculator?

Out the numbers 250, 718, 120, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.