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GCD of 220, 106, 731, 967 Calculator

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


Online GCD Calculator is useful to find the GCD of 220, 106, 731, 967 quickly. Get the easiest ways to solve the greatest common divisor of 220, 106, 731, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 220, 106, 731, 967 with Factoring?

Given Input numbers are 220, 106, 731, 967

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (220, 106, 731, 967) = 1.

Find GCD of 220, 106, 731, 967 using Prime Factorization

Given numbers are 220, 106, 731, 967

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 106 are 2 x 53

Prime factors of 731 are 17 x 43

Prime factors of 967 are 967

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

Steps to Calculate GCD of 220, 106, 731, 967 using LCM Formula

Given numbers are 220, 106, 731, 967

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

Apply this formula for all numbers.

Step1:

LCM(220, 106) = 11660

GCD(220, 106) = ( 220 x 106 ) / 11660

= 220 / 106

= 220


Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2


Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1


So, Greatest Common Divisor of 220, 106, 731, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 220, 106, 731, 967

Given numbers are 220, 106, 731, 967
The greatest common divisor of numbers 220, 106, 731, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 106, 731, 967 is 1.

FAQs on GCD of 220, 106, 731, 967 Calculator

1. What is the GCD of 220, 106, 731, 967?

GCD of given numbers 220, 106, 731, 967 is 1


2. How to calculate the greatest common divisor of 220, 106, 731, 967?

We can find the highest common divisor of 220, 106, 731, 967 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 220, 106, 731, 967 i.e 1.


3. How can I use the GCD of 220, 106, 731, 967Calculator?

Out the numbers 220, 106, 731, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.