GCD of 980, 654, 310, 336 Calculator

Given Input numbers are 980, 654, 310, 336

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (980, 654, 310, 336) = 2.

Given numbers are 980, 654, 310, 336

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 654 are 2 x 3 x 109

Prime factors of 310 are 2 x 5 x 31

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 980, 654, 310, 336 is 2.

Given numbers are 980, 654, 310, 336

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

Apply this formula for all numbers.

Step1:

LCM(980, 654) = 320460

GCD(980, 654) = ( 980 x 654 ) / 320460

= 980 / 654

= 980

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

= 2 / 336

= 2

So, Greatest Common Divisor of 980, 654, 310, 336 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 328, 385, 785
• GCD of 998, 990, 710, 990
• GCD of 283, 494, 828, 617
• GCD of 416, 638, 171, 170
• GCD of 532, 367, 577, 662

Given numbers are 980, 654, 310, 336
The greatest common divisor of numbers 980, 654, 310, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 654, 310, 336 is 2.

1. What is the GCD of 980, 654, 310, 336?

GCD of given numbers 980, 654, 310, 336 is 2

2. How to calculate the greatest common divisor of 980, 654, 310, 336?

We can find the highest common divisor of 980, 654, 310, 336 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, 654, 310, 336 i.e 2.

3. How can I use the GCD of 980, 654, 310, 336Calculator?

Out the numbers 980, 654, 310, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.