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GCD of 522, 770, 955, 120 Calculator

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


Online GCD Calculator is useful to find the GCD of 522, 770, 955, 120 quickly. Get the easiest ways to solve the greatest common divisor of 522, 770, 955, 120 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 770, 955, 120 with Factoring?

Given Input numbers are 522, 770, 955, 120

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

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


GCD of numbers is the greatest common divisor

So, the GCD (522, 770, 955, 120) = 1.

Find GCD of 522, 770, 955, 120 using Prime Factorization

Given numbers are 522, 770, 955, 120

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 955 are 5 x 191

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

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

Steps to Calculate GCD of 522, 770, 955, 120 using LCM Formula

Given numbers are 522, 770, 955, 120

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

Apply this formula for all numbers.

Step1:

LCM(522, 770) = 200970

GCD(522, 770) = ( 522 x 770 ) / 200970

= 522 / 770

= 522


Step2:

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

= 2 / 955

= 2


Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


So, Greatest Common Divisor of 522, 770, 955, 120 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 770, 955, 120

Given numbers are 522, 770, 955, 120
The greatest common divisor of numbers 522, 770, 955, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 770, 955, 120 is 1.

FAQs on GCD of 522, 770, 955, 120 Calculator

1. What is the GCD of 522, 770, 955, 120?

GCD of given numbers 522, 770, 955, 120 is 1


2. How to calculate the greatest common divisor of 522, 770, 955, 120?

We can find the highest common divisor of 522, 770, 955, 120 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 522, 770, 955, 120 i.e 1.


3. How can I use the GCD of 522, 770, 955, 120Calculator?

Out the numbers 522, 770, 955, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.