GCD of 120, 438, 427, 172 Calculator

Given Input numbers are 120, 438, 427, 172

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (120, 438, 427, 172) = 1.

Given numbers are 120, 438, 427, 172

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 438 are 2 x 3 x 73

Prime factors of 427 are 7 x 61

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 120, 438, 427, 172

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

Apply this formula for all numbers.

Step1:

LCM(120, 438) = 8760

GCD(120, 438) = ( 120 x 438 ) / 8760

= 120 / 438

= 120

Step2:

LCM(6, 427) = 2562

GCD(6, 427) = ( 6 x 427 ) / 2562

= 6 / 427

= 6

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 120, 438, 427, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 949, 781, 342
• GCD of 703, 303, 520, 474
• GCD of 516, 364, 229, 784
• GCD of 451, 219, 261, 557
• GCD of 106, 991, 167, 519

Given numbers are 120, 438, 427, 172
The greatest common divisor of numbers 120, 438, 427, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 438, 427, 172 is 1.

1. What is the GCD of 120, 438, 427, 172?

GCD of given numbers 120, 438, 427, 172 is 1

2. How to calculate the greatest common divisor of 120, 438, 427, 172?

We can find the highest common divisor of 120, 438, 427, 172 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, 438, 427, 172 i.e 1.

3. How can I use the GCD of 120, 438, 427, 172Calculator?

Out the numbers 120, 438, 427, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.