GCD of 980, 684, 204, 454 Calculator

Given Input numbers are 980, 684, 204, 454

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

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (980, 684, 204, 454) = 2.

Given numbers are 980, 684, 204, 454

The list of prime factors of all numbers are

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 980, 684, 204, 454 is 2.

Given numbers are 980, 684, 204, 454

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

Apply this formula for all numbers.

Step1:

LCM(980, 684) = 167580

GCD(980, 684) = ( 980 x 684 ) / 167580

= 980 / 684

= 980

Step2:

LCM(4, 204) = 204

GCD(4, 204) = ( 4 x 204 ) / 204

= 4 / 204

= 4

Step3:

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

= 4 / 454

= 4

So, Greatest Common Divisor of 980, 684, 204, 454 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 499, 880, 487
• GCD of 918, 952, 743, 566
• GCD of 703, 242, 296, 334
• GCD of 480, 918, 187, 745
• GCD of 636, 746, 201, 586

Given numbers are 980, 684, 204, 454
The greatest common divisor of numbers 980, 684, 204, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 684, 204, 454 is 2.

1. What is the GCD of 980, 684, 204, 454?

GCD of given numbers 980, 684, 204, 454 is 2

2. How to calculate the greatest common divisor of 980, 684, 204, 454?

We can find the highest common divisor of 980, 684, 204, 454 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 980, 684, 204, 454 i.e 2.

3. How can I use the GCD of 980, 684, 204, 454Calculator?

Out the numbers 980, 684, 204, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.