GCD of 742, 199, 396, 756 Calculator

Given Input numbers are 742, 199, 396, 756

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 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (742, 199, 396, 756) = 1.

Given numbers are 742, 199, 396, 756

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 199 are 199

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Given numbers are 742, 199, 396, 756

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

Apply this formula for all numbers.

Step1:

LCM(742, 199) = 147658

GCD(742, 199) = ( 742 x 199 ) / 147658

= 742 / 199

= 742

Step2:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 742, 199, 396, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 586, 762, 710
• GCD of 669, 640, 917, 750
• GCD of 316, 976, 999, 281
• GCD of 579, 355, 804, 418
• GCD of 267, 671, 830, 905

Given numbers are 742, 199, 396, 756
The greatest common divisor of numbers 742, 199, 396, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 199, 396, 756 is 1.

1. What is the GCD of 742, 199, 396, 756?

GCD of given numbers 742, 199, 396, 756 is 1

2. How to calculate the greatest common divisor of 742, 199, 396, 756?

We can find the highest common divisor of 742, 199, 396, 756 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, 199, 396, 756 i.e 1.

3. How can I use the GCD of 742, 199, 396, 756Calculator?

Out the numbers 742, 199, 396, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.