GCD of 987, 606, 66, 747 Calculator

Given Input numbers are 987, 606, 66, 747

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

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 987, 606, 66, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 606, 66, 747 is 3.

Therefore, GCD of numbers 987, 606, 66, 747 is 3

Given Input Data is 987, 606, 66, 747

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 747 is 3 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(987, 606) = 199374

GCD(987, 606) = ( 987 x 606 ) / 199374

GCD(987, 606) = 598122 / 199374

GCD(987, 606) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 747

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

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

GCD(3, 747) = 2241 / 747

GCD(3, 747) = 3

GCD of 987, 606, 66, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 332, 92, 577
• GCD of 383, 193, 66, 700
• GCD of 246, 350, 15, 670
• GCD of 774, 118, 15, 112
• GCD of 239, 919, 40, 709

1. What is the GCD of 987, 606, 66, 747?

GCD of 987, 606, 66, 747 is 3

2. Where do I get the detailed procedure to find GCD of 987, 606, 66, 747?

You can find a detailed procedure to find GCD of 987, 606, 66, 747 on our page.

3. How to find GCD of 987, 606, 66, 747 on a calculator?

You can find the GCD of 987, 606, 66, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.