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GCD of 720, 292, 685, 100 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, 292, 685, 100 quickly. Get the easiest ways to solve the greatest common divisor of 720, 292, 685, 100 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 292, 685, 100 with Factoring?

Given Input numbers are 720, 292, 685, 100

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 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100


GCD of numbers is the greatest common divisor

So, the GCD (720, 292, 685, 100) = 1.

Find GCD of 720, 292, 685, 100 using Prime Factorization

Given numbers are 720, 292, 685, 100

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 292 are 2 x 2 x 73

Prime factors of 685 are 5 x 137

Prime factors of 100 are 2 x 2 x 5 x 5

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

Steps to Calculate GCD of 720, 292, 685, 100 using LCM Formula

Given numbers are 720, 292, 685, 100

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

Apply this formula for all numbers.

Step1:

LCM(720, 292) = 52560

GCD(720, 292) = ( 720 x 292 ) / 52560

= 720 / 292

= 720


Step2:

LCM(4, 685) = 2740

GCD(4, 685) = ( 4 x 685 ) / 2740

= 4 / 685

= 4


Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1


So, Greatest Common Divisor of 720, 292, 685, 100 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 292, 685, 100

Given numbers are 720, 292, 685, 100
The greatest common divisor of numbers 720, 292, 685, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 292, 685, 100 is 1.

FAQs on GCD of 720, 292, 685, 100 Calculator

1. What is the GCD of 720, 292, 685, 100?

GCD of given numbers 720, 292, 685, 100 is 1


2. How to calculate the greatest common divisor of 720, 292, 685, 100?

We can find the highest common divisor of 720, 292, 685, 100 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, 292, 685, 100 i.e 1.


3. How can I use the GCD of 720, 292, 685, 100Calculator?

Out the numbers 720, 292, 685, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.