GCD of 500, 980, 392, 224 Calculator

Given Input numbers are 500, 980, 392, 224

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (500, 980, 392, 224) = 4.

Given numbers are 500, 980, 392, 224

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2²

Therefore, GCD of 500, 980, 392, 224 is 4.

Given numbers are 500, 980, 392, 224

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

Apply this formula for all numbers.

Step1:

LCM(500, 980) = 24500

GCD(500, 980) = ( 500 x 980 ) / 24500

= 500 / 980

= 500

Step2:

LCM(20, 392) = 1960

GCD(20, 392) = ( 20 x 392 ) / 1960

= 20 / 392

= 20

Step3:

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

= 4 / 224

= 4

So, Greatest Common Divisor of 500, 980, 392, 224 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 547, 291, 505
• GCD of 534, 841, 337, 636
• GCD of 345, 905, 257, 254
• GCD of 264, 449, 958, 849
• GCD of 643, 861, 462, 489

Given numbers are 500, 980, 392, 224
The greatest common divisor of numbers 500, 980, 392, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 980, 392, 224 is 4.

1. What is the GCD of 500, 980, 392, 224?

GCD of given numbers 500, 980, 392, 224 is 4

2. How to calculate the greatest common divisor of 500, 980, 392, 224?

We can find the highest common divisor of 500, 980, 392, 224 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 500, 980, 392, 224 i.e 4.

3. How can I use the GCD of 500, 980, 392, 224Calculator?

Out the numbers 500, 980, 392, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.