GCD of 172, 107, 112, 732 Calculator

Given Input numbers are 172, 107, 112, 732

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 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (172, 107, 112, 732) = 1.

Given numbers are 172, 107, 112, 732

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 107 are 107

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 732 are 2 x 2 x 3 x 61

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

Given numbers are 172, 107, 112, 732

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

Apply this formula for all numbers.

Step1:

LCM(172, 107) = 18404

GCD(172, 107) = ( 172 x 107 ) / 18404

= 172 / 107

= 172

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1

So, Greatest Common Divisor of 172, 107, 112, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 747, 810, 654
• GCD of 127, 836, 794, 116
• GCD of 792, 147, 222, 988
• GCD of 899, 508, 241, 730
• GCD of 221, 510, 782, 357

Given numbers are 172, 107, 112, 732
The greatest common divisor of numbers 172, 107, 112, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 107, 112, 732 is 1.

1. What is the GCD of 172, 107, 112, 732?

GCD of given numbers 172, 107, 112, 732 is 1

2. How to calculate the greatest common divisor of 172, 107, 112, 732?

We can find the highest common divisor of 172, 107, 112, 732 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, 107, 112, 732 i.e 1.

3. How can I use the GCD of 172, 107, 112, 732Calculator?

Out the numbers 172, 107, 112, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.