GCD of 48, 24, 70, 64 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 48, 24, 70, 64 i.e. 2 largest integer that divides all the numbers equally.

GCD of 48, 24, 70, 64 is 2

GCD(48, 24, 70, 64) = 2

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

GCD of

GCD of numbers 48, 24, 70, 64 is 2

GCD(48, 24, 70, 64) = 2

GCD of 48,24,70,64 Calculator

GCDof 48,24,70,64 is 2

Given Input numbers are 48, 24, 70, 64

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 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 48, 24, 70, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 24, 70, 64 is 2.

Therefore, GCD of numbers 48, 24, 70, 64 is 2

Finding GCD of 48, 24, 70, 64 using Prime Factorization

Given Input Data is 48, 24, 70, 64

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 70 is 2 x 5 x 7

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

Finding GCD of 48, 24, 70, 64 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(48, 24) = 48

GCD(48, 24) = ( 48 x 24 ) / 48

GCD(48, 24) = 1152 / 48

GCD(48, 24) = 24


Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 70

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

LCM(24, 70) = 840

GCD(24, 70) = ( 24 x 70 ) / 840

GCD(24, 70) = 1680 / 840

GCD(24, 70) = 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 48, 24, 70, 64 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 48, 24, 70, 64

1. What is the GCD of 48, 24, 70, 64?

GCD of 48, 24, 70, 64 is 2


2. Where do I get the detailed procedure to find GCD of 48, 24, 70, 64?

You can find a detailed procedure to find GCD of 48, 24, 70, 64 on our page.


3. How to find GCD of 48, 24, 70, 64 on a calculator?

You can find the GCD of 48, 24, 70, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.