GCD of 756, 987, 160 Calculator

Given Input numbers are 756, 987, 160

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 756, 987, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 987, 160 is 1.

Therefore, GCD of numbers 756, 987, 160 is 1

Given Input Data is 756, 987, 160

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(756, 987) = 35532

GCD(756, 987) = ( 756 x 987 ) / 35532

GCD(756, 987) = 746172 / 35532

GCD(756, 987) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 160

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

LCM(21, 160) = 3360

GCD(21, 160) = ( 21 x 160 ) / 3360

GCD(21, 160) = 3360 / 3360

GCD(21, 160) = 1

GCD of 756, 987, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 718, 270
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• GCD of 444, 465, 822
• GCD of 377, 151, 681
• GCD of 625, 943, 989

1. What is the GCD of 756, 987, 160?

GCD of 756, 987, 160 is 1

2. Where do I get the detailed procedure to find GCD of 756, 987, 160?

You can find a detailed procedure to find GCD of 756, 987, 160 on our page.

3. How to find GCD of 756, 987, 160 on a calculator?

You can find the GCD of 756, 987, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.