GCD of 756, 735, 755, 391 Calculator

Given Input numbers are 756, 735, 755, 391

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

GCD of numbers is the greatest common divisor

So, the GCD (756, 735, 755, 391) = 1.

Given numbers are 756, 735, 755, 391

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 735 are 3 x 5 x 7 x 7

Prime factors of 755 are 5 x 151

Prime factors of 391 are 17 x 23

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

Given numbers are 756, 735, 755, 391

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

Apply this formula for all numbers.

Step1:

LCM(756, 735) = 26460

GCD(756, 735) = ( 756 x 735 ) / 26460

= 756 / 735

= 756

Step2:

LCM(21, 755) = 15855

GCD(21, 755) = ( 21 x 755 ) / 15855

= 21 / 755

= 21

Step3:

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

= 1 / 391

= 1

So, Greatest Common Divisor of 756, 735, 755, 391 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 546, 687, 398
• GCD of 768, 379, 178, 770
• GCD of 975, 201, 705, 169
• GCD of 814, 733, 750, 900
• GCD of 348, 282, 516, 266

Given numbers are 756, 735, 755, 391
The greatest common divisor of numbers 756, 735, 755, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 735, 755, 391 is 1.

1. What is the GCD of 756, 735, 755, 391?

GCD of given numbers 756, 735, 755, 391 is 1

2. How to calculate the greatest common divisor of 756, 735, 755, 391?

We can find the highest common divisor of 756, 735, 755, 391 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, 735, 755, 391 i.e 1.

3. How can I use the GCD of 756, 735, 755, 391Calculator?

Out the numbers 756, 735, 755, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.