GCD of 750, 167, 360, 674 Calculator

Given Input numbers are 750, 167, 360, 674

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 750, 167, 360, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 167, 360, 674 is 1.

Therefore, GCD of numbers 750, 167, 360, 674 is 1

Given Input Data is 750, 167, 360, 674

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 167 is 167

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 674 is 2 x 337

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(750, 167) = 125250

GCD(750, 167) = ( 750 x 167 ) / 125250

GCD(750, 167) = 125250 / 125250

GCD(750, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 750, 167, 360, 674 is 1

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1. What is the GCD of 750, 167, 360, 674?

GCD of 750, 167, 360, 674 is 1

2. Where do I get the detailed procedure to find GCD of 750, 167, 360, 674?

You can find a detailed procedure to find GCD of 750, 167, 360, 674 on our page.

3. How to find GCD of 750, 167, 360, 674 on a calculator?

You can find the GCD of 750, 167, 360, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.