GCD of 500, 982, 980, 897 Calculator

Given Input numbers are 500, 982, 980, 897

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

GCD of numbers is the greatest common divisor

So, the GCD (500, 982, 980, 897) = 1.

Given numbers are 500, 982, 980, 897

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 982 are 2 x 491

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

Prime factors of 897 are 3 x 13 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 500, 982, 980, 897

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

Apply this formula for all numbers.

Step1:

LCM(500, 982) = 245500

GCD(500, 982) = ( 500 x 982 ) / 245500

= 500 / 982

= 500

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

= 2 / 897

= 2

So, Greatest Common Divisor of 500, 982, 980, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 221, 605, 882
• GCD of 199, 144, 294, 576
• GCD of 738, 226, 876, 929
• GCD of 163, 988, 309, 639
• GCD of 324, 422, 740, 879

Given numbers are 500, 982, 980, 897
The greatest common divisor of numbers 500, 982, 980, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 982, 980, 897 is 1.

1. What is the GCD of 500, 982, 980, 897?

GCD of given numbers 500, 982, 980, 897 is 1

2. How to calculate the greatest common divisor of 500, 982, 980, 897?

We can find the highest common divisor of 500, 982, 980, 897 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, 982, 980, 897 i.e 1.

3. How can I use the GCD of 500, 982, 980, 897Calculator?

Out the numbers 500, 982, 980, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.