GCD of 660, 945, 752 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 660, 945, 752 i.e. 1 largest integer that divides all the numbers equally.

GCD of 660, 945, 752 is 1

GCD(660, 945, 752) = 1

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

GCD of

GCD of numbers 660, 945, 752 is 1

GCD(660, 945, 752) = 1

GCD of 660,945,752 Calculator

GCDof 660,945,752 is 1

Given Input numbers are 660, 945, 752

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 660, 945, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 945, 752 is 1.

Therefore, GCD of numbers 660, 945, 752 is 1

Finding GCD of 660, 945, 752 using Prime Factorization

Given Input Data is 660, 945, 752

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 660, 945, 752 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(660, 945) = 41580

GCD(660, 945) = ( 660 x 945 ) / 41580

GCD(660, 945) = 623700 / 41580

GCD(660, 945) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 752

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

LCM(15, 752) = 11280

GCD(15, 752) = ( 15 x 752 ) / 11280

GCD(15, 752) = 11280 / 11280

GCD(15, 752) = 1

GCD of 660, 945, 752 is 1

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FAQs on GCD of numbers 660, 945, 752

1. What is the GCD of 660, 945, 752?

GCD of 660, 945, 752 is 1

2. Where do I get the detailed procedure to find GCD of 660, 945, 752?

You can find a detailed procedure to find GCD of 660, 945, 752 on our page.

3. How to find GCD of 660, 945, 752 on a calculator?

You can find the GCD of 660, 945, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.