GCD of 35, 210, 965, 438 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, 210, 965, 438 i.e. 1 largest integer that divides all the numbers equally.

GCD of 35, 210, 965, 438 is 1

GCD(35, 210, 965, 438) = 1

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

GCD of

GCD of numbers 35, 210, 965, 438 is 1

GCD(35, 210, 965, 438) = 1

GCD of 35,210,965,438 Calculator

GCDof 35,210,965,438 is 1

Given Input numbers are 35, 210, 965, 438

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 35, 210, 965, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 210, 965, 438 is 1.

Therefore, GCD of numbers 35, 210, 965, 438 is 1

Finding GCD of 35, 210, 965, 438 using Prime Factorization

Given Input Data is 35, 210, 965, 438

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 965 is 5 x 193

Prime Factorization of 438 is 2 x 3 x 73

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

Finding GCD of 35, 210, 965, 438 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, 210) = 210

GCD(35, 210) = ( 35 x 210 ) / 210

GCD(35, 210) = 7350 / 210

GCD(35, 210) = 35


Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 965

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

LCM(35, 965) = 6755

GCD(35, 965) = ( 35 x 965 ) / 6755

GCD(35, 965) = 33775 / 6755

GCD(35, 965) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 438

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

LCM(5, 438) = 2190

GCD(5, 438) = ( 5 x 438 ) / 2190

GCD(5, 438) = 2190 / 2190

GCD(5, 438) = 1

GCD of 35, 210, 965, 438 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 35, 210, 965, 438

1. What is the GCD of 35, 210, 965, 438?

GCD of 35, 210, 965, 438 is 1


2. Where do I get the detailed procedure to find GCD of 35, 210, 965, 438?

You can find a detailed procedure to find GCD of 35, 210, 965, 438 on our page.


3. How to find GCD of 35, 210, 965, 438 on a calculator?

You can find the GCD of 35, 210, 965, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.