GCD of 100, 980, 384, 494 Calculator

Given Input numbers are 100, 980, 384, 494

In the factoring method, we have to find the divisors of all numbers

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (100, 980, 384, 494) = 2.

Given numbers are 100, 980, 384, 494

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 100, 980, 384, 494 is 2.

Given numbers are 100, 980, 384, 494

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(100, 980) = 4900

GCD(100, 980) = ( 100 x 980 ) / 4900

= 100 / 980

= 100

Step2:

LCM(20, 384) = 1920

GCD(20, 384) = ( 20 x 384 ) / 1920

= 20 / 384

= 20

Step3:

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

= 4 / 494

= 4

So, Greatest Common Divisor of 100, 980, 384, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 980, 510, 833
• GCD of 628, 384, 697, 952
• GCD of 707, 386, 209, 485
• GCD of 224, 299, 593, 717
• GCD of 559, 389, 303, 513

Given numbers are 100, 980, 384, 494
The greatest common divisor of numbers 100, 980, 384, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 980, 384, 494 is 2.

1. What is the GCD of 100, 980, 384, 494?

GCD of given numbers 100, 980, 384, 494 is 2

2. How to calculate the greatest common divisor of 100, 980, 384, 494?

We can find the highest common divisor of 100, 980, 384, 494 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 100, 980, 384, 494 i.e 2.

3. How can I use the GCD of 100, 980, 384, 494Calculator?

Out the numbers 100, 980, 384, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.