GCD of 70, 74, 72, 64 Calculator

Given Input numbers are 70, 74, 72, 64

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 64

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

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

Greatest Common Divisior

We found the divisors of 70, 74, 72, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 74, 72, 64 is 2.

Therefore, GCD of numbers 70, 74, 72, 64 is 2

Given Input Data is 70, 74, 72, 64

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 74 is 2 x 37

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

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(70, 74) = 2590

GCD(70, 74) = ( 70 x 74 ) / 2590

GCD(70, 74) = 5180 / 2590

GCD(70, 74) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

GCD of 70, 74, 72, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 61, 17, 89
• GCD of 19, 23, 27, 56
• GCD of 32, 62, 68, 48
• GCD of 43, 26, 93, 90
• GCD of 84, 85, 54, 65

1. What is the GCD of 70, 74, 72, 64?

GCD of 70, 74, 72, 64 is 2

2. Where do I get the detailed procedure to find GCD of 70, 74, 72, 64?

You can find a detailed procedure to find GCD of 70, 74, 72, 64 on our page.

3. How to find GCD of 70, 74, 72, 64 on a calculator?

You can find the GCD of 70, 74, 72, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.