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GCD of 120, 946, 221, 716 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, 946, 221, 716 quickly. Get the easiest ways to solve the greatest common divisor of 120, 946, 221, 716 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 946, 221, 716 with Factoring?

Given Input numbers are 120, 946, 221, 716

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716


GCD of numbers is the greatest common divisor

So, the GCD (120, 946, 221, 716) = 1.

Find GCD of 120, 946, 221, 716 using Prime Factorization

Given numbers are 120, 946, 221, 716

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 946 are 2 x 11 x 43

Prime factors of 221 are 13 x 17

Prime factors of 716 are 2 x 2 x 179

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

Steps to Calculate GCD of 120, 946, 221, 716 using LCM Formula

Given numbers are 120, 946, 221, 716

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

Apply this formula for all numbers.

Step1:

LCM(120, 946) = 56760

GCD(120, 946) = ( 120 x 946 ) / 56760

= 120 / 946

= 120


Step2:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2


Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1


So, Greatest Common Divisor of 120, 946, 221, 716 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 946, 221, 716

Given numbers are 120, 946, 221, 716
The greatest common divisor of numbers 120, 946, 221, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 946, 221, 716 is 1.

FAQs on GCD of 120, 946, 221, 716 Calculator

1. What is the GCD of 120, 946, 221, 716?

GCD of given numbers 120, 946, 221, 716 is 1


2. How to calculate the greatest common divisor of 120, 946, 221, 716?

We can find the highest common divisor of 120, 946, 221, 716 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, 946, 221, 716 i.e 1.


3. How can I use the GCD of 120, 946, 221, 716Calculator?

Out the numbers 120, 946, 221, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.