GCD of 746, 372, 272, 309 Calculator

Given Input numbers are 746, 372, 272, 309

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (746, 372, 272, 309) = 1.

Given numbers are 746, 372, 272, 309

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 309 are 3 x 103

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

Given numbers are 746, 372, 272, 309

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

Apply this formula for all numbers.

Step1:

LCM(746, 372) = 138756

GCD(746, 372) = ( 746 x 372 ) / 138756

= 746 / 372

= 746

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 746, 372, 272, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 473, 375, 436
• GCD of 191, 292, 136, 506
• GCD of 510, 185, 934, 744
• GCD of 606, 765, 691, 645
• GCD of 962, 637, 118, 125

Given numbers are 746, 372, 272, 309
The greatest common divisor of numbers 746, 372, 272, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 372, 272, 309 is 1.

1. What is the GCD of 746, 372, 272, 309?

GCD of given numbers 746, 372, 272, 309 is 1

2. How to calculate the greatest common divisor of 746, 372, 272, 309?

We can find the highest common divisor of 746, 372, 272, 309 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 746, 372, 272, 309 i.e 1.

3. How can I use the GCD of 746, 372, 272, 309Calculator?

Out the numbers 746, 372, 272, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.