GCD of 280, 228, 77, 986 Calculator

Given Input numbers are 280, 228, 77, 986

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 280, 228, 77, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 228, 77, 986 is 1.

Therefore, GCD of numbers 280, 228, 77, 986 is 1

Given Input Data is 280, 228, 77, 986

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 986 is 2 x 17 x 29

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(280, 228) = 15960

GCD(280, 228) = ( 280 x 228 ) / 15960

GCD(280, 228) = 63840 / 15960

GCD(280, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 280, 228, 77, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 115, 80, 119
• GCD of 279, 383, 69, 919
• GCD of 925, 299, 68, 396
• GCD of 306, 247, 41, 176
• GCD of 707, 843, 25, 114

1. What is the GCD of 280, 228, 77, 986?

GCD of 280, 228, 77, 986 is 1

2. Where do I get the detailed procedure to find GCD of 280, 228, 77, 986?

You can find a detailed procedure to find GCD of 280, 228, 77, 986 on our page.

3. How to find GCD of 280, 228, 77, 986 on a calculator?

You can find the GCD of 280, 228, 77, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.