GCD of 35, 682, 960, 495 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 35, 682, 960, 495 i.e. 1 largest integer that divides all the numbers equally.

GCD of 35, 682, 960, 495 is 1

GCD(35, 682, 960, 495) = 1

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

GCD of

GCD of numbers 35, 682, 960, 495 is 1

GCD(35, 682, 960, 495) = 1

GCD of 35,682,960,495 Calculator

GCDof 35,682,960,495 is 1

Given Input numbers are 35, 682, 960, 495

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 35, 682, 960, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 682, 960, 495 is 1.

Therefore, GCD of numbers 35, 682, 960, 495 is 1

Finding GCD of 35, 682, 960, 495 using Prime Factorization

Given Input Data is 35, 682, 960, 495

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 682 is 2 x 11 x 31

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Finding GCD of 35, 682, 960, 495 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(35, 682) = 23870

GCD(35, 682) = ( 35 x 682 ) / 23870

GCD(35, 682) = 23870 / 23870

GCD(35, 682) = 1


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 35, 682, 960, 495 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 35, 682, 960, 495

1. What is the GCD of 35, 682, 960, 495?

GCD of 35, 682, 960, 495 is 1


2. Where do I get the detailed procedure to find GCD of 35, 682, 960, 495?

You can find a detailed procedure to find GCD of 35, 682, 960, 495 on our page.


3. How to find GCD of 35, 682, 960, 495 on a calculator?

You can find the GCD of 35, 682, 960, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.