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GCD of 868, 217, 600, 154 Calculator

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


Online GCD Calculator is useful to find the GCD of 868, 217, 600, 154 quickly. Get the easiest ways to solve the greatest common divisor of 868, 217, 600, 154 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 868, 217, 600, 154 with Factoring?

Given Input numbers are 868, 217, 600, 154

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154


GCD of numbers is the greatest common divisor

So, the GCD (868, 217, 600, 154) = 1.

Find GCD of 868, 217, 600, 154 using Prime Factorization

Given numbers are 868, 217, 600, 154

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 217 are 7 x 31

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 154 are 2 x 7 x 11

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

Steps to Calculate GCD of 868, 217, 600, 154 using LCM Formula

Given numbers are 868, 217, 600, 154

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

Apply this formula for all numbers.

Step1:

LCM(868, 217) = 868

GCD(868, 217) = ( 868 x 217 ) / 868

= 868 / 217

= 868


Step2:

LCM(217, 600) = 130200

GCD(217, 600) = ( 217 x 600 ) / 130200

= 217 / 600

= 217


Step3:

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

= 1 / 154

= 1


So, Greatest Common Divisor of 868, 217, 600, 154 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 868, 217, 600, 154

Given numbers are 868, 217, 600, 154
The greatest common divisor of numbers 868, 217, 600, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 217, 600, 154 is 1.

FAQs on GCD of 868, 217, 600, 154 Calculator

1. What is the GCD of 868, 217, 600, 154?

GCD of given numbers 868, 217, 600, 154 is 1


2. How to calculate the greatest common divisor of 868, 217, 600, 154?

We can find the highest common divisor of 868, 217, 600, 154 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 868, 217, 600, 154 i.e 1.


3. How can I use the GCD of 868, 217, 600, 154Calculator?

Out the numbers 868, 217, 600, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.