GCD of 172, 632, 570, 120 Calculator

Given Input numbers are 172, 632, 570, 120

In the factoring method, we have to find the divisors of all numbers

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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

GCD of numbers is the greatest common divisor

So, the GCD (172, 632, 570, 120) = 2.

Given numbers are 172, 632, 570, 120

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 172, 632, 570, 120 is 2.

Given numbers are 172, 632, 570, 120

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

Apply this formula for all numbers.

Step1:

LCM(172, 632) = 27176

GCD(172, 632) = ( 172 x 632 ) / 27176

= 172 / 632

= 172

Step2:

LCM(4, 570) = 1140

GCD(4, 570) = ( 4 x 570 ) / 1140

= 4 / 570

= 4

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 172, 632, 570, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 854, 198, 712
• GCD of 662, 306, 510, 730
• GCD of 268, 483, 452, 730
• GCD of 470, 399, 703, 335
• GCD of 292, 701, 937, 894

Given numbers are 172, 632, 570, 120
The greatest common divisor of numbers 172, 632, 570, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 632, 570, 120 is 2.

1. What is the GCD of 172, 632, 570, 120?

GCD of given numbers 172, 632, 570, 120 is 2

2. How to calculate the greatest common divisor of 172, 632, 570, 120?

We can find the highest common divisor of 172, 632, 570, 120 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 172, 632, 570, 120 i.e 2.

3. How can I use the GCD of 172, 632, 570, 120Calculator?

Out the numbers 172, 632, 570, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.