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GCD of 720, 578, 556, 977 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 578, 556, 977 quickly. Get the easiest ways to solve the greatest common divisor of 720, 578, 556, 977 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 578, 556, 977 with Factoring?

Given Input numbers are 720, 578, 556, 977

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

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 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977


GCD of numbers is the greatest common divisor

So, the GCD (720, 578, 556, 977) = 1.

Find GCD of 720, 578, 556, 977 using Prime Factorization

Given numbers are 720, 578, 556, 977

The list of prime factors of all numbers are

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

Prime factors of 578 are 2 x 17 x 17

Prime factors of 556 are 2 x 2 x 139

Prime factors of 977 are 977

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

Steps to Calculate GCD of 720, 578, 556, 977 using LCM Formula

Given numbers are 720, 578, 556, 977

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

Apply this formula for all numbers.

Step1:

LCM(720, 578) = 208080

GCD(720, 578) = ( 720 x 578 ) / 208080

= 720 / 578

= 720


Step2:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2


Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2


So, Greatest Common Divisor of 720, 578, 556, 977 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 578, 556, 977

Given numbers are 720, 578, 556, 977
The greatest common divisor of numbers 720, 578, 556, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 578, 556, 977 is 1.

FAQs on GCD of 720, 578, 556, 977 Calculator

1. What is the GCD of 720, 578, 556, 977?

GCD of given numbers 720, 578, 556, 977 is 1


2. How to calculate the greatest common divisor of 720, 578, 556, 977?

We can find the highest common divisor of 720, 578, 556, 977 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 720, 578, 556, 977 i.e 1.


3. How can I use the GCD of 720, 578, 556, 977Calculator?

Out the numbers 720, 578, 556, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.