GCD of 146, 140, 672, 736 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 146, 140, 672, 736 i.e. 2 largest integer that divides all the numbers equally.

GCD of 146, 140, 672, 736 is 2

GCD(146, 140, 672, 736) = 2

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

GCD of

GCD of numbers 146, 140, 672, 736 is 2

GCD(146, 140, 672, 736) = 2

GCD of 146,140,672,736 Calculator

GCDof 146,140,672,736 is 2

Given Input numbers are 146, 140, 672, 736

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 146, 140, 672, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 140, 672, 736 is 2.

Therefore, GCD of numbers 146, 140, 672, 736 is 2

Finding GCD of 146, 140, 672, 736 using Prime Factorization

Given Input Data is 146, 140, 672, 736

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 146, 140, 672, 736 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(146, 140) = 10220

GCD(146, 140) = ( 146 x 140 ) / 10220

GCD(146, 140) = 20440 / 10220

GCD(146, 140) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 146, 140, 672, 736 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 146, 140, 672, 736

1. What is the GCD of 146, 140, 672, 736?

GCD of 146, 140, 672, 736 is 2


2. Where do I get the detailed procedure to find GCD of 146, 140, 672, 736?

You can find a detailed procedure to find GCD of 146, 140, 672, 736 on our page.


3. How to find GCD of 146, 140, 672, 736 on a calculator?

You can find the GCD of 146, 140, 672, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.