GCD of 120, 532, 341, 172 Calculator

Given Input numbers are 120, 532, 341, 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 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

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, 532, 341, 172) = 1.

Given numbers are 120, 532, 341, 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 532 are 2 x 2 x 7 x 19

Prime factors of 341 are 11 x 31

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, 532, 341, 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, 532) = 15960

GCD(120, 532) = ( 120 x 532 ) / 15960

= 120 / 532

= 120

Step2:

LCM(4, 341) = 1364

GCD(4, 341) = ( 4 x 341 ) / 1364

= 4 / 341

= 4

Step3:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 120, 532, 341, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 714, 554, 418
• GCD of 398, 712, 135, 637
• GCD of 525, 384, 395, 593
• GCD of 879, 400, 456, 739
• GCD of 370, 183, 296, 788

Given numbers are 120, 532, 341, 172
The greatest common divisor of numbers 120, 532, 341, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 532, 341, 172 is 1.

1. What is the GCD of 120, 532, 341, 172?

GCD of given numbers 120, 532, 341, 172 is 1

2. How to calculate the greatest common divisor of 120, 532, 341, 172?

We can find the highest common divisor of 120, 532, 341, 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, 532, 341, 172 i.e 1.

3. How can I use the GCD of 120, 532, 341, 172Calculator?

Out the numbers 120, 532, 341, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.