GCD of 461, 765, 700 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 461, 765, 700 i.e. 1 largest integer that divides all the numbers equally.

GCD of 461, 765, 700 is 1

GCD(461, 765, 700) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 461, 765, 700 is 1

GCD(461, 765, 700) = 1

GCD of 461,765,700 Calculator

GCDof 461,765,700 is 1

Given Input numbers are 461, 765, 700

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 461, 765, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 765, 700 is 1.

Therefore, GCD of numbers 461, 765, 700 is 1

Finding GCD of 461, 765, 700 using Prime Factorization

Given Input Data is 461, 765, 700

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 461 is 461

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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

Finding GCD of 461, 765, 700 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(461, 765) = 352665

GCD(461, 765) = ( 461 x 765 ) / 352665

GCD(461, 765) = 352665 / 352665

GCD(461, 765) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 461, 765, 700 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 461, 765, 700

1. What is the GCD of 461, 765, 700?

GCD of 461, 765, 700 is 1


2. Where do I get the detailed procedure to find GCD of 461, 765, 700?

You can find a detailed procedure to find GCD of 461, 765, 700 on our page.


3. How to find GCD of 461, 765, 700 on a calculator?

You can find the GCD of 461, 765, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.