GCD of 48, 900, 980, 879 Calculator

Given Input numbers are 48, 900, 980, 879

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 48, 900, 980, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 900, 980, 879 is 1.

Therefore, GCD of numbers 48, 900, 980, 879 is 1

Given Input Data is 48, 900, 980, 879

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 879 is 3 x 293

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(48, 900) = 3600

GCD(48, 900) = ( 48 x 900 ) / 3600

GCD(48, 900) = 43200 / 3600

GCD(48, 900) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 980

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

LCM(12, 980) = 2940

GCD(12, 980) = ( 12 x 980 ) / 2940

GCD(12, 980) = 11760 / 2940

GCD(12, 980) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 879

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

LCM(4, 879) = 3516

GCD(4, 879) = ( 4 x 879 ) / 3516

GCD(4, 879) = 3516 / 3516

GCD(4, 879) = 1

GCD of 48, 900, 980, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 313, 665, 263
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• GCD of 20, 840, 564, 141
• GCD of 13, 234, 557, 983

1. What is the GCD of 48, 900, 980, 879?

GCD of 48, 900, 980, 879 is 1

2. Where do I get the detailed procedure to find GCD of 48, 900, 980, 879?

You can find a detailed procedure to find GCD of 48, 900, 980, 879 on our page.

3. How to find GCD of 48, 900, 980, 879 on a calculator?

You can find the GCD of 48, 900, 980, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.