GCD of 508, 105, 980, 716 Calculator

Given Input numbers are 508, 105, 980, 716

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (508, 105, 980, 716) = 1.

Given numbers are 508, 105, 980, 716

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 716 are 2 x 2 x 179

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

Given numbers are 508, 105, 980, 716

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

Apply this formula for all numbers.

Step1:

LCM(508, 105) = 53340

GCD(508, 105) = ( 508 x 105 ) / 53340

= 508 / 105

= 508

Step2:

LCM(1, 980) = 980

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

= 1 / 980

= 1

Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1

So, Greatest Common Divisor of 508, 105, 980, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 316, 239, 993
• GCD of 605, 480, 727, 203
• GCD of 721, 839, 615, 867
• GCD of 199, 768, 659, 795
• GCD of 904, 225, 902, 250

Given numbers are 508, 105, 980, 716
The greatest common divisor of numbers 508, 105, 980, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 105, 980, 716 is 1.

1. What is the GCD of 508, 105, 980, 716?

GCD of given numbers 508, 105, 980, 716 is 1

2. How to calculate the greatest common divisor of 508, 105, 980, 716?

We can find the highest common divisor of 508, 105, 980, 716 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 508, 105, 980, 716 i.e 1.

3. How can I use the GCD of 508, 105, 980, 716Calculator?

Out the numbers 508, 105, 980, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.