GCD of 120, 642, 302, 813 Calculator

Given Input numbers are 120, 642, 302, 813

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (120, 642, 302, 813) = 1.

Given numbers are 120, 642, 302, 813

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 642 are 2 x 3 x 107

Prime factors of 302 are 2 x 151

Prime factors of 813 are 3 x 271

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

Given numbers are 120, 642, 302, 813

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

Apply this formula for all numbers.

Step1:

LCM(120, 642) = 12840

GCD(120, 642) = ( 120 x 642 ) / 12840

= 120 / 642

= 120

Step2:

LCM(6, 302) = 906

GCD(6, 302) = ( 6 x 302 ) / 906

= 6 / 302

= 6

Step3:

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

= 2 / 813

= 2

So, Greatest Common Divisor of 120, 642, 302, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 994, 654, 843
• GCD of 815, 754, 464, 729
• GCD of 647, 246, 695, 820
• GCD of 142, 447, 775, 375
• GCD of 620, 236, 989, 116

Given numbers are 120, 642, 302, 813
The greatest common divisor of numbers 120, 642, 302, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 642, 302, 813 is 1.

1. What is the GCD of 120, 642, 302, 813?

GCD of given numbers 120, 642, 302, 813 is 1

2. How to calculate the greatest common divisor of 120, 642, 302, 813?

We can find the highest common divisor of 120, 642, 302, 813 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, 642, 302, 813 i.e 1.

3. How can I use the GCD of 120, 642, 302, 813Calculator?

Out the numbers 120, 642, 302, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.