GCD of 70, 938, 999, 870 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, 938, 999, 870 i.e. 1 largest integer that divides all the numbers equally.

GCD of 70, 938, 999, 870 is 1

GCD(70, 938, 999, 870) = 1

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

GCD of

GCD of numbers 70, 938, 999, 870 is 1

GCD(70, 938, 999, 870) = 1

GCD of 70,938,999,870 Calculator

GCDof 70,938,999,870 is 1

Given Input numbers are 70, 938, 999, 870

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 70, 938, 999, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 938, 999, 870 is 1.

Therefore, GCD of numbers 70, 938, 999, 870 is 1

Finding GCD of 70, 938, 999, 870 using Prime Factorization

Given Input Data is 70, 938, 999, 870

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 938 is 2 x 7 x 67

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 870 is 2 x 3 x 5 x 29

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

Finding GCD of 70, 938, 999, 870 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, 938) = 4690

GCD(70, 938) = ( 70 x 938 ) / 4690

GCD(70, 938) = 65660 / 4690

GCD(70, 938) = 14


Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 999

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

LCM(14, 999) = 13986

GCD(14, 999) = ( 14 x 999 ) / 13986

GCD(14, 999) = 13986 / 13986

GCD(14, 999) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 70, 938, 999, 870 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 70, 938, 999, 870

1. What is the GCD of 70, 938, 999, 870?

GCD of 70, 938, 999, 870 is 1


2. Where do I get the detailed procedure to find GCD of 70, 938, 999, 870?

You can find a detailed procedure to find GCD of 70, 938, 999, 870 on our page.


3. How to find GCD of 70, 938, 999, 870 on a calculator?

You can find the GCD of 70, 938, 999, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.