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GCD of 900, 720, 622, 770 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 720, 622, 770 quickly. Get the easiest ways to solve the greatest common divisor of 900, 720, 622, 770 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 720, 622, 770 with Factoring?

Given Input numbers are 900, 720, 622, 770

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

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


GCD of numbers is the greatest common divisor

So, the GCD (900, 720, 622, 770) = 2.

Find GCD of 900, 720, 622, 770 using Prime Factorization

Given numbers are 900, 720, 622, 770

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 622 are 2 x 311

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

The highest common occurrence is 21

Therefore, GCD of 900, 720, 622, 770 is 2.

Steps to Calculate GCD of 900, 720, 622, 770 using LCM Formula

Given numbers are 900, 720, 622, 770

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

Apply this formula for all numbers.

Step1:

LCM(900, 720) = 3600

GCD(900, 720) = ( 900 x 720 ) / 3600

= 900 / 720

= 900


Step2:

LCM(180, 622) = 55980

GCD(180, 622) = ( 180 x 622 ) / 55980

= 180 / 622

= 180


Step3:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2


So, Greatest Common Divisor of 900, 720, 622, 770 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 720, 622, 770

Given numbers are 900, 720, 622, 770
The greatest common divisor of numbers 900, 720, 622, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 720, 622, 770 is 2.

FAQs on GCD of 900, 720, 622, 770 Calculator

1. What is the GCD of 900, 720, 622, 770?

GCD of given numbers 900, 720, 622, 770 is 2


2. How to calculate the greatest common divisor of 900, 720, 622, 770?

We can find the highest common divisor of 900, 720, 622, 770 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 900, 720, 622, 770 i.e 2.


3. How can I use the GCD of 900, 720, 622, 770Calculator?

Out the numbers 900, 720, 622, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.