GCD of 980, 876, 172, 210 Calculator

Given Input numbers are 980, 876, 172, 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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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, 876, 172, 210) = 2.

Given numbers are 980, 876, 172, 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 876 are 2 x 2 x 3 x 73

Prime factors of 172 are 2 x 2 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 980, 876, 172, 210 is 2.

Given numbers are 980, 876, 172, 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, 876) = 214620

GCD(980, 876) = ( 980 x 876 ) / 214620

= 980 / 876

= 980

Step2:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

Step3:

LCM(4, 210) = 420

GCD(4, 210) = ( 4 x 210 ) / 420

= 4 / 210

= 4

So, Greatest Common Divisor of 980, 876, 172, 210 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 459, 585, 524
• GCD of 769, 718, 631, 547
• GCD of 747, 502, 316, 260
• GCD of 352, 238, 149, 598
• GCD of 414, 317, 365, 398

Given numbers are 980, 876, 172, 210
The greatest common divisor of numbers 980, 876, 172, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 876, 172, 210 is 2.

1. What is the GCD of 980, 876, 172, 210?

GCD of given numbers 980, 876, 172, 210 is 2

2. How to calculate the greatest common divisor of 980, 876, 172, 210?

We can find the highest common divisor of 980, 876, 172, 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, 876, 172, 210 i.e 2.

3. How can I use the GCD of 980, 876, 172, 210Calculator?

Out the numbers 980, 876, 172, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.