GCD of 120, 642, 387, 981 Calculator

Given Input numbers are 120, 642, 387, 981

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (120, 642, 387, 981) = 3.

Given numbers are 120, 642, 387, 981

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 387 are 3 x 3 x 43

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 120, 642, 387, 981 is 3.

Given numbers are 120, 642, 387, 981

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, 387) = 774

GCD(6, 387) = ( 6 x 387 ) / 774

= 6 / 387

= 6

Step3:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3

So, Greatest Common Divisor of 120, 642, 387, 981 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 682, 258, 441
• GCD of 667, 987, 553, 213
• GCD of 749, 671, 752, 107
• GCD of 815, 410, 886, 649
• GCD of 413, 393, 408, 706

Given numbers are 120, 642, 387, 981
The greatest common divisor of numbers 120, 642, 387, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 642, 387, 981 is 3.

1. What is the GCD of 120, 642, 387, 981?

GCD of given numbers 120, 642, 387, 981 is 3

2. How to calculate the greatest common divisor of 120, 642, 387, 981?

We can find the highest common divisor of 120, 642, 387, 981 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, 387, 981 i.e 3.

3. How can I use the GCD of 120, 642, 387, 981Calculator?

Out the numbers 120, 642, 387, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.