GCD of 980, 986, 90, 210 Calculator

Given Input numbers are 980, 986, 90, 210

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (980, 986, 90, 210) = 2.

Given numbers are 980, 986, 90, 210

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 986 are 2 x 17 x 29

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 980, 986, 90, 210 is 2.

Given numbers are 980, 986, 90, 210

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

Apply this formula for all numbers.

Step1:

LCM(980, 986) = 483140

GCD(980, 986) = ( 980 x 986 ) / 483140

= 980 / 986

= 980

Step2:

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

= 2 / 90

= 2

Step3:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

So, Greatest Common Divisor of 980, 986, 90, 210 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 467, 23, 429
• GCD of 664, 889, 56, 961
• GCD of 792, 957, 75, 529
• GCD of 626, 844, 47, 494
• GCD of 244, 279, 51, 312

Given numbers are 980, 986, 90, 210
The greatest common divisor of numbers 980, 986, 90, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 986, 90, 210 is 2.

1. What is the GCD of 980, 986, 90, 210?

GCD of given numbers 980, 986, 90, 210 is 2

2. How to calculate the greatest common divisor of 980, 986, 90, 210?

We can find the highest common divisor of 980, 986, 90, 210 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, 986, 90, 210 i.e 2.

3. How can I use the GCD of 980, 986, 90, 210Calculator?

Out the numbers 980, 986, 90, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.