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GCD of 120, 849, 613, 868 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 849, 613, 868 quickly. Get the easiest ways to solve the greatest common divisor of 120, 849, 613, 868 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 849, 613, 868 with Factoring?

Given Input numbers are 120, 849, 613, 868

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

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613

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


GCD of numbers is the greatest common divisor

So, the GCD (120, 849, 613, 868) = 1.

Find GCD of 120, 849, 613, 868 using Prime Factorization

Given numbers are 120, 849, 613, 868

The list of prime factors of all numbers are

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

Prime factors of 849 are 3 x 283

Prime factors of 613 are 613

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

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

Steps to Calculate GCD of 120, 849, 613, 868 using LCM Formula

Given numbers are 120, 849, 613, 868

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

Apply this formula for all numbers.

Step1:

LCM(120, 849) = 33960

GCD(120, 849) = ( 120 x 849 ) / 33960

= 120 / 849

= 120


Step2:

LCM(3, 613) = 1839

GCD(3, 613) = ( 3 x 613 ) / 1839

= 3 / 613

= 3


Step3:

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

= 1 / 868

= 1


So, Greatest Common Divisor of 120, 849, 613, 868 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 849, 613, 868

Given numbers are 120, 849, 613, 868
The greatest common divisor of numbers 120, 849, 613, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 849, 613, 868 is 1.

FAQs on GCD of 120, 849, 613, 868 Calculator

1. What is the GCD of 120, 849, 613, 868?

GCD of given numbers 120, 849, 613, 868 is 1


2. How to calculate the greatest common divisor of 120, 849, 613, 868?

We can find the highest common divisor of 120, 849, 613, 868 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 120, 849, 613, 868 i.e 1.


3. How can I use the GCD of 120, 849, 613, 868Calculator?

Out the numbers 120, 849, 613, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.