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GCD of 760, 412, 685, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 760, 412, 685, 720 quickly. Get the easiest ways to solve the greatest common divisor of 760, 412, 685, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 412, 685, 720 with Factoring?

Given Input numbers are 760, 412, 685, 720

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 685 :

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

1, 5, 137, 685

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


GCD of numbers is the greatest common divisor

So, the GCD (760, 412, 685, 720) = 1.

Find GCD of 760, 412, 685, 720 using Prime Factorization

Given numbers are 760, 412, 685, 720

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 412 are 2 x 2 x 103

Prime factors of 685 are 5 x 137

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

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

Steps to Calculate GCD of 760, 412, 685, 720 using LCM Formula

Given numbers are 760, 412, 685, 720

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

Apply this formula for all numbers.

Step1:

LCM(760, 412) = 78280

GCD(760, 412) = ( 760 x 412 ) / 78280

= 760 / 412

= 760


Step2:

LCM(4, 685) = 2740

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

= 4 / 685

= 4


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 760, 412, 685, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 412, 685, 720

Given numbers are 760, 412, 685, 720
The greatest common divisor of numbers 760, 412, 685, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 412, 685, 720 is 1.

FAQs on GCD of 760, 412, 685, 720 Calculator

1. What is the GCD of 760, 412, 685, 720?

GCD of given numbers 760, 412, 685, 720 is 1


2. How to calculate the greatest common divisor of 760, 412, 685, 720?

We can find the highest common divisor of 760, 412, 685, 720 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 760, 412, 685, 720 i.e 1.


3. How can I use the GCD of 760, 412, 685, 720Calculator?

Out the numbers 760, 412, 685, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.