GCD of 90, 64, 70, 14 Calculator

Given Input numbers are 90, 64, 70, 14

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

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 90, 64, 70, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 64, 70, 14 is 2.

Therefore, GCD of numbers 90, 64, 70, 14 is 2

Given Input Data is 90, 64, 70, 14

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

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 14 is 2 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(90, 64) = 2880

GCD(90, 64) = ( 90 x 64 ) / 2880

GCD(90, 64) = 5760 / 2880

GCD(90, 64) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

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

GCD of 90, 64, 70, 14 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 72, 17, 25
• GCD of 78, 61, 28, 42
• GCD of 19, 53, 79, 56
• GCD of 51, 99, 13, 20
• GCD of 14, 80, 46, 61

1. What is the GCD of 90, 64, 70, 14?

GCD of 90, 64, 70, 14 is 2

2. Where do I get the detailed procedure to find GCD of 90, 64, 70, 14?

You can find a detailed procedure to find GCD of 90, 64, 70, 14 on our page.

3. How to find GCD of 90, 64, 70, 14 on a calculator?

You can find the GCD of 90, 64, 70, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.