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GCD of 70, 36, 14, 90 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 70, 36, 14, 90 i.e. 2 largest integer that divides all the numbers equally.

GCD of 70, 36, 14, 90 is 2

GCD(70, 36, 14, 90) = 2

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

GCD of

GCD of numbers 70, 36, 14, 90 is 2

GCD(70, 36, 14, 90) = 2

Finding GCD of 70, 36, 14, 90 using Factoring

Given Input numbers are 70, 36, 14, 90

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 70, 36, 14, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 36, 14, 90 is 2.

Therefore, GCD of numbers 70, 36, 14, 90 is 2

Finding GCD of 70, 36, 14, 90 using Prime Factorization

Given Input Data is 70, 36, 14, 90

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 36 is 2 x 2 x 3 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 70, 36, 14, 90 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, 36) = 1260

GCD(70, 36) = ( 70 x 36 ) / 1260

GCD(70, 36) = 2520 / 1260

GCD(70, 36) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

GCD of 70, 36, 14, 90 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 70, 36, 14, 90

1. What is the GCD of 70, 36, 14, 90?

GCD of 70, 36, 14, 90 is 2


2. Where do I get the detailed procedure to find GCD of 70, 36, 14, 90?

You can find a detailed procedure to find GCD of 70, 36, 14, 90 on our page.


3. How to find GCD of 70, 36, 14, 90 on a calculator?

You can find the GCD of 70, 36, 14, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.