GCD of 980, 584, 490, 228 Calculator

Given Input numbers are 980, 584, 490, 228

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (980, 584, 490, 228) = 2.

Given numbers are 980, 584, 490, 228

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 584 are 2 x 2 x 2 x 73

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 980, 584, 490, 228 is 2.

Given numbers are 980, 584, 490, 228

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

Apply this formula for all numbers.

Step1:

LCM(980, 584) = 143080

GCD(980, 584) = ( 980 x 584 ) / 143080

= 980 / 584

= 980

Step2:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 980, 584, 490, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 462, 309, 748
• GCD of 512, 492, 200, 475
• GCD of 715, 882, 447, 444
• GCD of 263, 491, 579, 861
• GCD of 571, 181, 987, 481

Given numbers are 980, 584, 490, 228
The greatest common divisor of numbers 980, 584, 490, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 584, 490, 228 is 2.

1. What is the GCD of 980, 584, 490, 228?

GCD of given numbers 980, 584, 490, 228 is 2

2. How to calculate the greatest common divisor of 980, 584, 490, 228?

We can find the highest common divisor of 980, 584, 490, 228 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, 584, 490, 228 i.e 2.

3. How can I use the GCD of 980, 584, 490, 228Calculator?

Out the numbers 980, 584, 490, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.