GCD of 742, 111, 172 Calculator

Given Input numbers are 742, 111, 172

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

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 (742, 111, 172) = 1.

Given numbers are 742, 111, 172

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 111 are 3 x 37

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 742, 111, 172

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

Apply this formula for all numbers.

Step1:

LCM(742, 111) = 82362

GCD(742, 111) = ( 742 x 111 ) / 82362

= 742 / 111

= 742

Step2:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 742, 111, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 808, 266
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Given numbers are 742, 111, 172
The greatest common divisor of numbers 742, 111, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 111, 172 is 1.

1. What is the GCD of 742, 111, 172?

GCD of given numbers 742, 111, 172 is 1

2. How to calculate the greatest common divisor of 742, 111, 172?

We can find the highest common divisor of 742, 111, 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 742, 111, 172 i.e 1.

3. How can I use the GCD of 742, 111, 172Calculator?

Out the numbers 742, 111, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.