Where do I get the detailed procedure to find GCD of 767, 689, 715?

You can find a detailed procedure to find GCD of 767, 689, 715 on our page.

How to find GCD of 767, 689, 715 on a calculator?

You can find the GCD of 767, 689, 715 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 767, 689, 715 Calculator

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

Online GCD Calculator is useful to find the GCD of 767, 689, 715 quickly. Get the easiest ways to solve the greatest common divisor of 767, 689, 715 i.e 13 in different methods as follows.

How to Find GCD of Numbers 767, 689, 715 with Factoring?

Given Input numbers are 767, 689, 715

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

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (767, 689, 715) = 13.

Find GCD of 767, 689, 715 using Prime Factorization

Given numbers are 767, 689, 715

The list of prime factors of all numbers are

Prime factors of 767 are 13 x 59

Prime factors of 689 are 13 x 53

Prime factors of 715 are 5 x 11 x 13

The highest common occurrence is 13¹

Therefore, GCD of 767, 689, 715 is 13.

Steps to Calculate GCD of 767, 689, 715 using LCM Formula

Given numbers are 767, 689, 715

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

Apply this formula for all numbers.

Step1:

LCM(767, 689) = 40651

GCD(767, 689) = ( 767 x 689 ) / 40651

= 767 / 689

= 767

Step2:

LCM(13, 715) = 715

GCD(13, 715) = ( 13 x 715 ) / 715

= 13 / 715

= 13

So, Greatest Common Divisor of 767, 689, 715 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 767, 689, 715

Given numbers are 767, 689, 715
The greatest common divisor of numbers 767, 689, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 767, 689, 715 is 13.

FAQs on GCD of 767, 689, 715 Calculator

1. What is the GCD of 767, 689, 715?

GCD of given numbers 767, 689, 715 is 13

2. How to calculate the greatest common divisor of 767, 689, 715?

We can find the highest common divisor of 767, 689, 715 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 767, 689, 715 i.e 13.

3. How can I use the GCD of 767, 689, 715Calculator?

Out the numbers 767, 689, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.