GCD of 196, 496, 39, 987 Calculator

Given Input numbers are 196, 496, 39, 987

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 196, 496, 39, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 496, 39, 987 is 1.

Therefore, GCD of numbers 196, 496, 39, 987 is 1

Given Input Data is 196, 496, 39, 987

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 39 is 3 x 13

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(196, 496) = 24304

GCD(196, 496) = ( 196 x 496 ) / 24304

GCD(196, 496) = 97216 / 24304

GCD(196, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 196, 496, 39, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 291, 21, 470
• GCD of 987, 606, 97, 921
• GCD of 165, 696, 58, 506
• GCD of 304, 222, 36, 162
• GCD of 312, 918, 92, 143

1. What is the GCD of 196, 496, 39, 987?

GCD of 196, 496, 39, 987 is 1

2. Where do I get the detailed procedure to find GCD of 196, 496, 39, 987?

You can find a detailed procedure to find GCD of 196, 496, 39, 987 on our page.

3. How to find GCD of 196, 496, 39, 987 on a calculator?

You can find the GCD of 196, 496, 39, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.