GCD of 108, 172, 307, 462 Calculator

Given Input numbers are 108, 172, 307, 462

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (108, 172, 307, 462) = 1.

Given numbers are 108, 172, 307, 462

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 172 are 2 x 2 x 43

Prime factors of 307 are 307

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 108, 172, 307, 462

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

Apply this formula for all numbers.

Step1:

LCM(108, 172) = 4644

GCD(108, 172) = ( 108 x 172 ) / 4644

= 108 / 172

= 108

Step2:

LCM(4, 307) = 1228

GCD(4, 307) = ( 4 x 307 ) / 1228

= 4 / 307

= 4

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 108, 172, 307, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 365, 942, 321
• GCD of 858, 314, 245, 345
• GCD of 246, 962, 606, 242
• GCD of 118, 483, 511, 280
• GCD of 565, 937, 159, 568

Given numbers are 108, 172, 307, 462
The greatest common divisor of numbers 108, 172, 307, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 172, 307, 462 is 1.

1. What is the GCD of 108, 172, 307, 462?

GCD of given numbers 108, 172, 307, 462 is 1

2. How to calculate the greatest common divisor of 108, 172, 307, 462?

We can find the highest common divisor of 108, 172, 307, 462 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 108, 172, 307, 462 i.e 1.

3. How can I use the GCD of 108, 172, 307, 462Calculator?

Out the numbers 108, 172, 307, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.