GCD of 756, 791, 105, 367 Calculator

Given Input numbers are 756, 791, 105, 367

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

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

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

GCD of numbers is the greatest common divisor

So, the GCD (756, 791, 105, 367) = 1.

Given numbers are 756, 791, 105, 367

The list of prime factors of all numbers are

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

Prime factors of 791 are 7 x 113

Prime factors of 105 are 3 x 5 x 7

Prime factors of 367 are 367

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

Given numbers are 756, 791, 105, 367

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

Apply this formula for all numbers.

Step1:

LCM(756, 791) = 85428

GCD(756, 791) = ( 756 x 791 ) / 85428

= 756 / 791

= 756

Step2:

LCM(7, 105) = 105

GCD(7, 105) = ( 7 x 105 ) / 105

= 7 / 105

= 7

Step3:

LCM(7, 367) = 2569

GCD(7, 367) = ( 7 x 367 ) / 2569

= 7 / 367

= 7

So, Greatest Common Divisor of 756, 791, 105, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 822, 754, 239
• GCD of 857, 336, 810, 260
• GCD of 907, 701, 830, 720
• GCD of 691, 380, 936, 829
• GCD of 177, 685, 127, 272

Given numbers are 756, 791, 105, 367
The greatest common divisor of numbers 756, 791, 105, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 791, 105, 367 is 1.

1. What is the GCD of 756, 791, 105, 367?

GCD of given numbers 756, 791, 105, 367 is 1

2. How to calculate the greatest common divisor of 756, 791, 105, 367?

We can find the highest common divisor of 756, 791, 105, 367 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 756, 791, 105, 367 i.e 1.

3. How can I use the GCD of 756, 791, 105, 367Calculator?

Out the numbers 756, 791, 105, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.