GCD of 120, 931, 986, 917 Calculator

Given Input numbers are 120, 931, 986, 917

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 986 :

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

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (120, 931, 986, 917) = 1.

Given numbers are 120, 931, 986, 917

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 931 are 7 x 7 x 19

Prime factors of 986 are 2 x 17 x 29

Prime factors of 917 are 7 x 131

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

Given numbers are 120, 931, 986, 917

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

Apply this formula for all numbers.

Step1:

LCM(120, 931) = 111720

GCD(120, 931) = ( 120 x 931 ) / 111720

= 120 / 931

= 120

Step2:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

Step3:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1

So, Greatest Common Divisor of 120, 931, 986, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 956, 974, 734
• GCD of 192, 699, 179, 630
• GCD of 732, 112, 903, 226
• GCD of 944, 976, 419, 929
• GCD of 180, 423, 385, 567

Given numbers are 120, 931, 986, 917
The greatest common divisor of numbers 120, 931, 986, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 931, 986, 917 is 1.

1. What is the GCD of 120, 931, 986, 917?

GCD of given numbers 120, 931, 986, 917 is 1

2. How to calculate the greatest common divisor of 120, 931, 986, 917?

We can find the highest common divisor of 120, 931, 986, 917 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 120, 931, 986, 917 i.e 1.

3. How can I use the GCD of 120, 931, 986, 917Calculator?

Out the numbers 120, 931, 986, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.