GCD of 875, 966, 70, 216 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 875, 966, 70, 216 i.e. 1 largest integer that divides all the numbers equally.

GCD of 875, 966, 70, 216 is 1

GCD(875, 966, 70, 216) = 1

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

GCD of

GCD of numbers 875, 966, 70, 216 is 1

GCD(875, 966, 70, 216) = 1

GCD of 875,966,70,216 Calculator

GCDof 875,966,70,216 is 1

Given Input numbers are 875, 966, 70, 216

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 875, 966, 70, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 966, 70, 216 is 1.

Therefore, GCD of numbers 875, 966, 70, 216 is 1

Finding GCD of 875, 966, 70, 216 using Prime Factorization

Given Input Data is 875, 966, 70, 216

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

Finding GCD of 875, 966, 70, 216 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(875, 966) = 120750

GCD(875, 966) = ( 875 x 966 ) / 120750

GCD(875, 966) = 845250 / 120750

GCD(875, 966) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 70

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

LCM(7, 70) = 70

GCD(7, 70) = ( 7 x 70 ) / 70

GCD(7, 70) = 490 / 70

GCD(7, 70) = 7


Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 216

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

LCM(7, 216) = 1512

GCD(7, 216) = ( 7 x 216 ) / 1512

GCD(7, 216) = 1512 / 1512

GCD(7, 216) = 1

GCD of 875, 966, 70, 216 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 875, 966, 70, 216

1. What is the GCD of 875, 966, 70, 216?

GCD of 875, 966, 70, 216 is 1


2. Where do I get the detailed procedure to find GCD of 875, 966, 70, 216?

You can find a detailed procedure to find GCD of 875, 966, 70, 216 on our page.


3. How to find GCD of 875, 966, 70, 216 on a calculator?

You can find the GCD of 875, 966, 70, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.