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GCD of 222, 350, 745, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 222, 350, 745, 920 quickly. Get the easiest ways to solve the greatest common divisor of 222, 350, 745, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 222, 350, 745, 920 with Factoring?

Given Input numbers are 222, 350, 745, 920

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

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (222, 350, 745, 920) = 1.

Find GCD of 222, 350, 745, 920 using Prime Factorization

Given numbers are 222, 350, 745, 920

The list of prime factors of all numbers are

Prime factors of 222 are 2 x 3 x 37

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 745 are 5 x 149

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Steps to Calculate GCD of 222, 350, 745, 920 using LCM Formula

Given numbers are 222, 350, 745, 920

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

Apply this formula for all numbers.

Step1:

LCM(222, 350) = 38850

GCD(222, 350) = ( 222 x 350 ) / 38850

= 222 / 350

= 222


Step2:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2


Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


So, Greatest Common Divisor of 222, 350, 745, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 222, 350, 745, 920

Given numbers are 222, 350, 745, 920
The greatest common divisor of numbers 222, 350, 745, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 350, 745, 920 is 1.

FAQs on GCD of 222, 350, 745, 920 Calculator

1. What is the GCD of 222, 350, 745, 920?

GCD of given numbers 222, 350, 745, 920 is 1


2. How to calculate the greatest common divisor of 222, 350, 745, 920?

We can find the highest common divisor of 222, 350, 745, 920 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 222, 350, 745, 920 i.e 1.


3. How can I use the GCD of 222, 350, 745, 920Calculator?

Out the numbers 222, 350, 745, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.