GCD of 756, 274, 46, 987 Calculator

Given Input numbers are 756, 274, 46, 987

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 987

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

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

Greatest Common Divisior

We found the divisors of 756, 274, 46, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 274, 46, 987 is 1.

Therefore, GCD of numbers 756, 274, 46, 987 is 1

Given Input Data is 756, 274, 46, 987

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 274 is 2 x 137

Prime Factorization of 46 is 2 x 23

Prime Factorization of 987 is 3 x 7 x 47

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, 274) = 103572

GCD(756, 274) = ( 756 x 274 ) / 103572

GCD(756, 274) = 207144 / 103572

GCD(756, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

GCD of 756, 274, 46, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 708, 69, 163
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• GCD of 837, 807, 83, 329

1. What is the GCD of 756, 274, 46, 987?

GCD of 756, 274, 46, 987 is 1

2. Where do I get the detailed procedure to find GCD of 756, 274, 46, 987?

You can find a detailed procedure to find GCD of 756, 274, 46, 987 on our page.

3. How to find GCD of 756, 274, 46, 987 on a calculator?

You can find the GCD of 756, 274, 46, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.