GCD of 66, 889, 508, 987 Calculator

Given Input numbers are 66, 889, 508, 987

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

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 66, 889, 508, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 889, 508, 987 is 1.

Therefore, GCD of numbers 66, 889, 508, 987 is 1

Given Input Data is 66, 889, 508, 987

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 889 is 7 x 127

Prime Factorization of 508 is 2 x 2 x 127

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(66, 889) = 58674

GCD(66, 889) = ( 66 x 889 ) / 58674

GCD(66, 889) = 58674 / 58674

GCD(66, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 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 66, 889, 508, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 703, 169, 308
• GCD of 24, 741, 175, 787
• GCD of 36, 949, 677, 206
• GCD of 95, 648, 593, 496
• GCD of 15, 918, 266, 116

1. What is the GCD of 66, 889, 508, 987?

GCD of 66, 889, 508, 987 is 1

2. Where do I get the detailed procedure to find GCD of 66, 889, 508, 987?

You can find a detailed procedure to find GCD of 66, 889, 508, 987 on our page.

3. How to find GCD of 66, 889, 508, 987 on a calculator?

You can find the GCD of 66, 889, 508, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.