GCD of 980, 600, 625, 282 Calculator

Given Input numbers are 980, 600, 625, 282

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (980, 600, 625, 282) = 1.

Given numbers are 980, 600, 625, 282

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 282 are 2 x 3 x 47

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

Given numbers are 980, 600, 625, 282

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

Apply this formula for all numbers.

Step1:

LCM(980, 600) = 29400

GCD(980, 600) = ( 980 x 600 ) / 29400

= 980 / 600

= 980

Step2:

LCM(20, 625) = 2500

GCD(20, 625) = ( 20 x 625 ) / 2500

= 20 / 625

= 20

Step3:

LCM(5, 282) = 1410

GCD(5, 282) = ( 5 x 282 ) / 1410

= 5 / 282

= 5

So, Greatest Common Divisor of 980, 600, 625, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 225, 489, 118
• GCD of 598, 195, 395, 130
• GCD of 854, 605, 235, 403
• GCD of 176, 359, 245, 707
• GCD of 670, 311, 292, 634

Given numbers are 980, 600, 625, 282
The greatest common divisor of numbers 980, 600, 625, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 600, 625, 282 is 1.

1. What is the GCD of 980, 600, 625, 282?

GCD of given numbers 980, 600, 625, 282 is 1

2. How to calculate the greatest common divisor of 980, 600, 625, 282?

We can find the highest common divisor of 980, 600, 625, 282 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, 600, 625, 282 i.e 1.

3. How can I use the GCD of 980, 600, 625, 282Calculator?

Out the numbers 980, 600, 625, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.