GCD of 497, 308, 216, 980 Calculator

Given Input numbers are 497, 308, 216, 980

In the factoring method, we have to find the divisors of all numbers

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

GCD of numbers is the greatest common divisor

So, the GCD (497, 308, 216, 980) = 1.

Given numbers are 497, 308, 216, 980

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

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

Given numbers are 497, 308, 216, 980

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

Apply this formula for all numbers.

Step1:

LCM(497, 308) = 21868

GCD(497, 308) = ( 497 x 308 ) / 21868

= 497 / 308

= 497

Step2:

LCM(7, 216) = 1512

GCD(7, 216) = ( 7 x 216 ) / 1512

= 7 / 216

= 7

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 497, 308, 216, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 319, 766, 527
• GCD of 796, 124, 940, 890
• GCD of 629, 685, 590, 178
• GCD of 689, 522, 160, 745
• GCD of 815, 586, 192, 264

Given numbers are 497, 308, 216, 980
The greatest common divisor of numbers 497, 308, 216, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 308, 216, 980 is 1.

1. What is the GCD of 497, 308, 216, 980?

GCD of given numbers 497, 308, 216, 980 is 1

2. How to calculate the greatest common divisor of 497, 308, 216, 980?

We can find the highest common divisor of 497, 308, 216, 980 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 497, 308, 216, 980 i.e 1.

3. How can I use the GCD of 497, 308, 216, 980Calculator?

Out the numbers 497, 308, 216, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.