Where do I get the detailed procedure to find GCD of 760, 780, 470?

You can find a detailed procedure to find GCD of 760, 780, 470 on our page.

How to find GCD of 760, 780, 470 on a calculator?

You can find the GCD of 760, 780, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 760, 780, 470 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, 780, 470 quickly. Get the easiest ways to solve the greatest common divisor of 760, 780, 470 i.e 10 in different methods as follows.

How to Find GCD of Numbers 760, 780, 470 with Factoring?

Given Input numbers are 760, 780, 470

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (760, 780, 470) = 10.

Find GCD of 760, 780, 470 using Prime Factorization

Given numbers are 760, 780, 470

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 760, 780, 470 is 10.

Steps to Calculate GCD of 760, 780, 470 using LCM Formula

Given numbers are 760, 780, 470

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

Apply this formula for all numbers.

Step1:

LCM(760, 780) = 29640

GCD(760, 780) = ( 760 x 780 ) / 29640

= 760 / 780

= 760

Step2:

LCM(20, 470) = 940

GCD(20, 470) = ( 20 x 470 ) / 940

= 20 / 470

= 20

So, Greatest Common Divisor of 760, 780, 470 is 10

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 760, 780, 470

Given numbers are 760, 780, 470
The greatest common divisor of numbers 760, 780, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 780, 470 is 10.

FAQs on GCD of 760, 780, 470 Calculator

1. What is the GCD of 760, 780, 470?

GCD of given numbers 760, 780, 470 is 10

2. How to calculate the greatest common divisor of 760, 780, 470?

We can find the highest common divisor of 760, 780, 470 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, 780, 470 i.e 10.

3. How can I use the GCD of 760, 780, 470Calculator?

Out the numbers 760, 780, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.