GCD of 960, 750, 87, 715 Calculator

Given Input numbers are 960, 750, 87, 715

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

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 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 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 960, 750, 87, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 750, 87, 715 is 1.

Therefore, GCD of numbers 960, 750, 87, 715 is 1

Given Input Data is 960, 750, 87, 715

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

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

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 715 is 5 x 11 x 13

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(960, 750) = 24000

GCD(960, 750) = ( 960 x 750 ) / 24000

GCD(960, 750) = 720000 / 24000

GCD(960, 750) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 87

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

LCM(30, 87) = 870

GCD(30, 87) = ( 30 x 87 ) / 870

GCD(30, 87) = 2610 / 870

GCD(30, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 715

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

LCM(3, 715) = 2145

GCD(3, 715) = ( 3 x 715 ) / 2145

GCD(3, 715) = 2145 / 2145

GCD(3, 715) = 1

GCD of 960, 750, 87, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 371, 37, 741
• GCD of 184, 151, 86, 547
• GCD of 212, 441, 79, 812
• GCD of 701, 999, 45, 162
• GCD of 926, 883, 66, 405

1. What is the GCD of 960, 750, 87, 715?

GCD of 960, 750, 87, 715 is 1

2. Where do I get the detailed procedure to find GCD of 960, 750, 87, 715?

You can find a detailed procedure to find GCD of 960, 750, 87, 715 on our page.

3. How to find GCD of 960, 750, 87, 715 on a calculator?

You can find the GCD of 960, 750, 87, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.