GCD of 70, 70, 60 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 70, 70, 60 i.e. 10 largest integer that divides all the numbers equally.

GCD of 70, 70, 60 is 10

GCD(70, 70, 60) = 10

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

GCD of

GCD of numbers 70, 70, 60 is 10

GCD(70, 70, 60) = 10

GCD of 70,70,60 Calculator

GCDof 70,70,60 is 10

Given Input numbers are 70, 70, 60

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 70, 70, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 70, 60 is 10.

Therefore, GCD of numbers 70, 70, 60 is 10

Finding GCD of 70, 70, 60 using Prime Factorization

Given Input Data is 70, 70, 60

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 60 is 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 21 x 51

Multiplying them we get the GCD as 10

Finding GCD of 70, 70, 60 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(70, 70) = 70

GCD(70, 70) = ( 70 x 70 ) / 70

GCD(70, 70) = 4900 / 70

GCD(70, 70) = 70


Step2:

Here we consider the GCD from the above i.e. 70 as first number and the next as 60

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

LCM(70, 60) = 420

GCD(70, 60) = ( 70 x 60 ) / 420

GCD(70, 60) = 4200 / 420

GCD(70, 60) = 10

GCD of 70, 70, 60 is 10

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 70, 70, 60

1. What is the GCD of 70, 70, 60?

GCD of 70, 70, 60 is 10


2. Where do I get the detailed procedure to find GCD of 70, 70, 60?

You can find a detailed procedure to find GCD of 70, 70, 60 on our page.


3. How to find GCD of 70, 70, 60 on a calculator?

You can find the GCD of 70, 70, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.