GCD of 834, 315, 70, 960 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 834, 315, 70, 960 i.e. 1 largest integer that divides all the numbers equally.

GCD of 834, 315, 70, 960 is 1

GCD(834, 315, 70, 960) = 1

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

GCD of

GCD of numbers 834, 315, 70, 960 is 1

GCD(834, 315, 70, 960) = 1

GCD of 834,315,70,960 Calculator

GCDof 834,315,70,960 is 1

Given Input numbers are 834, 315, 70, 960

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 834, 315, 70, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 315, 70, 960 is 1.

Therefore, GCD of numbers 834, 315, 70, 960 is 1

Finding GCD of 834, 315, 70, 960 using Prime Factorization

Given Input Data is 834, 315, 70, 960

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 834, 315, 70, 960 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(834, 315) = 87570

GCD(834, 315) = ( 834 x 315 ) / 87570

GCD(834, 315) = 262710 / 87570

GCD(834, 315) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 834, 315, 70, 960 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 834, 315, 70, 960

1. What is the GCD of 834, 315, 70, 960?

GCD of 834, 315, 70, 960 is 1


2. Where do I get the detailed procedure to find GCD of 834, 315, 70, 960?

You can find a detailed procedure to find GCD of 834, 315, 70, 960 on our page.


3. How to find GCD of 834, 315, 70, 960 on a calculator?

You can find the GCD of 834, 315, 70, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.