GCD of 120, 540, 643, 235 Calculator

Given Input numbers are 120, 540, 643, 235

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

GCD of numbers is the greatest common divisor

So, the GCD (120, 540, 643, 235) = 1.

Given numbers are 120, 540, 643, 235

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 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 643 are 643

Prime factors of 235 are 5 x 47

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

Given numbers are 120, 540, 643, 235

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

Apply this formula for all numbers.

Step1:

LCM(120, 540) = 1080

GCD(120, 540) = ( 120 x 540 ) / 1080

= 120 / 540

= 120

Step2:

LCM(60, 643) = 38580

GCD(60, 643) = ( 60 x 643 ) / 38580

= 60 / 643

= 60

Step3:

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

= 1 / 235

= 1

So, Greatest Common Divisor of 120, 540, 643, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 863, 840, 120
• GCD of 819, 518, 350, 599
• GCD of 638, 211, 101, 637
• GCD of 162, 213, 471, 579
• GCD of 111, 858, 512, 578

Given numbers are 120, 540, 643, 235
The greatest common divisor of numbers 120, 540, 643, 235 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 540, 643, 235 is 1.

1. What is the GCD of 120, 540, 643, 235?

GCD of given numbers 120, 540, 643, 235 is 1

2. How to calculate the greatest common divisor of 120, 540, 643, 235?

We can find the highest common divisor of 120, 540, 643, 235 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, 540, 643, 235 i.e 1.

3. How can I use the GCD of 120, 540, 643, 235Calculator?

Out the numbers 120, 540, 643, 235 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.