GCD of 109, 172, 744, 214 Calculator

Given Input numbers are 109, 172, 744, 214

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (109, 172, 744, 214) = 1.

Given numbers are 109, 172, 744, 214

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 172 are 2 x 2 x 43

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 214 are 2 x 107

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

Given numbers are 109, 172, 744, 214

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

Apply this formula for all numbers.

Step1:

LCM(109, 172) = 18748

GCD(109, 172) = ( 109 x 172 ) / 18748

= 109 / 172

= 109

Step2:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 109, 172, 744, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 185, 768, 738
• GCD of 875, 160, 650, 721
• GCD of 300, 372, 462, 580
• GCD of 255, 287, 171, 243
• GCD of 756, 831, 197, 798

Given numbers are 109, 172, 744, 214
The greatest common divisor of numbers 109, 172, 744, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 172, 744, 214 is 1.

1. What is the GCD of 109, 172, 744, 214?

GCD of given numbers 109, 172, 744, 214 is 1

2. How to calculate the greatest common divisor of 109, 172, 744, 214?

We can find the highest common divisor of 109, 172, 744, 214 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 109, 172, 744, 214 i.e 1.

3. How can I use the GCD of 109, 172, 744, 214Calculator?

Out the numbers 109, 172, 744, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.