GCD of 50, 240, 988, 280 Calculator

Given Input numbers are 50, 240, 988, 280

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

Greatest Common Divisior

We found the divisors of 50, 240, 988, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 240, 988, 280 is 2.

Therefore, GCD of numbers 50, 240, 988, 280 is 2

Given Input Data is 50, 240, 988, 280

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 988 is 2 x 2 x 13 x 19

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

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(50, 240) = 1200

GCD(50, 240) = ( 50 x 240 ) / 1200

GCD(50, 240) = 12000 / 1200

GCD(50, 240) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 988

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

LCM(10, 988) = 4940

GCD(10, 988) = ( 10 x 988 ) / 4940

GCD(10, 988) = 9880 / 4940

GCD(10, 988) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

GCD of 50, 240, 988, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 630, 723, 255
• GCD of 50, 562, 604, 528
• GCD of 61, 995, 693, 457
• GCD of 53, 534, 807, 744
• GCD of 30, 716, 931, 600

1. What is the GCD of 50, 240, 988, 280?

GCD of 50, 240, 988, 280 is 2

2. Where do I get the detailed procedure to find GCD of 50, 240, 988, 280?

You can find a detailed procedure to find GCD of 50, 240, 988, 280 on our page.

3. How to find GCD of 50, 240, 988, 280 on a calculator?

You can find the GCD of 50, 240, 988, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.