GCD of 540, 374, 767, 986 Calculator

Given Input numbers are 540, 374, 767, 986

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 540, 374, 767, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 374, 767, 986 is 1.

Therefore, GCD of numbers 540, 374, 767, 986 is 1

Given Input Data is 540, 374, 767, 986

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 767 is 13 x 59

Prime Factorization of 986 is 2 x 17 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(540, 374) = 100980

GCD(540, 374) = ( 540 x 374 ) / 100980

GCD(540, 374) = 201960 / 100980

GCD(540, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 540, 374, 767, 986 is 1

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1. What is the GCD of 540, 374, 767, 986?

GCD of 540, 374, 767, 986 is 1

2. Where do I get the detailed procedure to find GCD of 540, 374, 767, 986?

You can find a detailed procedure to find GCD of 540, 374, 767, 986 on our page.

3. How to find GCD of 540, 374, 767, 986 on a calculator?

You can find the GCD of 540, 374, 767, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.