GCD of 156, 692, 80, 282 Calculator

Given Input numbers are 156, 692, 80, 282

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 156, 692, 80, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 692, 80, 282 is 2.

Therefore, GCD of numbers 156, 692, 80, 282 is 2

Given Input Data is 156, 692, 80, 282

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 282 is 2 x 3 x 47

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(156, 692) = 26988

GCD(156, 692) = ( 156 x 692 ) / 26988

GCD(156, 692) = 107952 / 26988

GCD(156, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 282

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

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

GCD(4, 282) = 1128 / 564

GCD(4, 282) = 2

GCD of 156, 692, 80, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 211, 69, 934
• GCD of 287, 125, 80, 222
• GCD of 244, 895, 29, 187
• GCD of 853, 877, 11, 812
• GCD of 170, 736, 16, 955

1. What is the GCD of 156, 692, 80, 282?

GCD of 156, 692, 80, 282 is 2

2. Where do I get the detailed procedure to find GCD of 156, 692, 80, 282?

You can find a detailed procedure to find GCD of 156, 692, 80, 282 on our page.

3. How to find GCD of 156, 692, 80, 282 on a calculator?

You can find the GCD of 156, 692, 80, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.