GCD of 120, 647, 689, 798 Calculator

Given Input numbers are 120, 647, 689, 798

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 647 :

The positive integer divisors of 647 that completely divides 647 are.

1, 647

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (120, 647, 689, 798) = 1.

Given numbers are 120, 647, 689, 798

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 647 are 647

Prime factors of 689 are 13 x 53

Prime factors of 798 are 2 x 3 x 7 x 19

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

Given numbers are 120, 647, 689, 798

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

Apply this formula for all numbers.

Step1:

LCM(120, 647) = 77640

GCD(120, 647) = ( 120 x 647 ) / 77640

= 120 / 647

= 120

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

= 1 / 798

= 1

So, Greatest Common Divisor of 120, 647, 689, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 301, 271, 409
• GCD of 312, 302, 889, 269
• GCD of 408, 171, 229, 472
• GCD of 643, 372, 812, 268
• GCD of 565, 322, 605, 912

Given numbers are 120, 647, 689, 798
The greatest common divisor of numbers 120, 647, 689, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 647, 689, 798 is 1.

1. What is the GCD of 120, 647, 689, 798?

GCD of given numbers 120, 647, 689, 798 is 1

2. How to calculate the greatest common divisor of 120, 647, 689, 798?

We can find the highest common divisor of 120, 647, 689, 798 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, 647, 689, 798 i.e 1.

3. How can I use the GCD of 120, 647, 689, 798Calculator?

Out the numbers 120, 647, 689, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.