GCD of 120, 686, 36, 917 Calculator

Given Input numbers are 120, 686, 36, 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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

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, 686, 36, 917) = 1.

Given numbers are 120, 686, 36, 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 686 are 2 x 7 x 7 x 7

Prime factors of 36 are 2 x 2 x 3 x 3

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, 686, 36, 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, 686) = 41160

GCD(120, 686) = ( 120 x 686 ) / 41160

= 120 / 686

= 120

Step2:

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

= 2 / 36

= 2

Step3:

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

= 2 / 917

= 2

So, Greatest Common Divisor of 120, 686, 36, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 743, 10, 164
• GCD of 489, 651, 90, 614
• GCD of 941, 215, 45, 324
• GCD of 513, 689, 64, 725
• GCD of 285, 649, 22, 279

Given numbers are 120, 686, 36, 917
The greatest common divisor of numbers 120, 686, 36, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 686, 36, 917 is 1.

1. What is the GCD of 120, 686, 36, 917?

GCD of given numbers 120, 686, 36, 917 is 1

2. How to calculate the greatest common divisor of 120, 686, 36, 917?

We can find the highest common divisor of 120, 686, 36, 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, 686, 36, 917 i.e 1.

3. How can I use the GCD of 120, 686, 36, 917Calculator?

Out the numbers 120, 686, 36, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.