GCD of 749, 960, 667 Calculator

Given Input numbers are 749, 960, 667

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 749, 960, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 960, 667 is 1.

Therefore, GCD of numbers 749, 960, 667 is 1

Given Input Data is 749, 960, 667

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 667 is 23 x 29

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

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(749, 960) = 719040

GCD(749, 960) = ( 749 x 960 ) / 719040

GCD(749, 960) = 719040 / 719040

GCD(749, 960) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 749, 960, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 395, 123
• GCD of 985, 353, 599
• GCD of 372, 227, 418
• GCD of 599, 435, 716
• GCD of 243, 308, 995

1. What is the GCD of 749, 960, 667?

GCD of 749, 960, 667 is 1

2. Where do I get the detailed procedure to find GCD of 749, 960, 667?

You can find a detailed procedure to find GCD of 749, 960, 667 on our page.

3. How to find GCD of 749, 960, 667 on a calculator?

You can find the GCD of 749, 960, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.