GCD of 660, 892, 796, 986 Calculator

Given Input numbers are 660, 892, 796, 986

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

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 660, 892, 796, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 892, 796, 986 is 2.

Therefore, GCD of numbers 660, 892, 796, 986 is 2

Given Input Data is 660, 892, 796, 986

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 986 is 2 x 17 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(660, 892) = 147180

GCD(660, 892) = ( 660 x 892 ) / 147180

GCD(660, 892) = 588720 / 147180

GCD(660, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 796

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

LCM(4, 796) = 796

GCD(4, 796) = ( 4 x 796 ) / 796

GCD(4, 796) = 3184 / 796

GCD(4, 796) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 986

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

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

GCD(4, 986) = 3944 / 1972

GCD(4, 986) = 2

GCD of 660, 892, 796, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 520, 511, 259
• GCD of 288, 223, 493, 134
• GCD of 553, 591, 673, 858
• GCD of 849, 943, 286, 232
• GCD of 886, 956, 223, 350

1. What is the GCD of 660, 892, 796, 986?

GCD of 660, 892, 796, 986 is 2

2. Where do I get the detailed procedure to find GCD of 660, 892, 796, 986?

You can find a detailed procedure to find GCD of 660, 892, 796, 986 on our page.

3. How to find GCD of 660, 892, 796, 986 on a calculator?

You can find the GCD of 660, 892, 796, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.