GCD of 747, 242, 18, 172 Calculator

Given Input numbers are 747, 242, 18, 172

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

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 (747, 242, 18, 172) = 1.

Given numbers are 747, 242, 18, 172

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 242 are 2 x 11 x 11

Prime factors of 18 are 2 x 3 x 3

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 747, 242, 18, 172

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

Apply this formula for all numbers.

Step1:

LCM(747, 242) = 180774

GCD(747, 242) = ( 747 x 242 ) / 180774

= 747 / 242

= 747

Step2:

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

= 1 / 18

= 1

Step3:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 747, 242, 18, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 850, 37, 769
• GCD of 101, 548, 96, 765
• GCD of 120, 401, 95, 902
• GCD of 405, 209, 55, 736
• GCD of 990, 951, 82, 423

Given numbers are 747, 242, 18, 172
The greatest common divisor of numbers 747, 242, 18, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 242, 18, 172 is 1.

1. What is the GCD of 747, 242, 18, 172?

GCD of given numbers 747, 242, 18, 172 is 1

2. How to calculate the greatest common divisor of 747, 242, 18, 172?

We can find the highest common divisor of 747, 242, 18, 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 747, 242, 18, 172 i.e 1.

3. How can I use the GCD of 747, 242, 18, 172Calculator?

Out the numbers 747, 242, 18, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.