GCD of 765, 456, 520, 112 Calculator

Given Input numbers are 765, 456, 520, 112

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (765, 456, 520, 112) = 1.

Given numbers are 765, 456, 520, 112

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 765, 456, 520, 112

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

Apply this formula for all numbers.

Step1:

LCM(765, 456) = 116280

GCD(765, 456) = ( 765 x 456 ) / 116280

= 765 / 456

= 765

Step2:

LCM(3, 520) = 1560

GCD(3, 520) = ( 3 x 520 ) / 1560

= 3 / 520

= 3

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 765, 456, 520, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 925, 706, 380
• GCD of 522, 408, 230, 124
• GCD of 707, 195, 976, 963
• GCD of 747, 493, 222, 962
• GCD of 506, 733, 883, 375

Given numbers are 765, 456, 520, 112
The greatest common divisor of numbers 765, 456, 520, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 456, 520, 112 is 1.

1. What is the GCD of 765, 456, 520, 112?

GCD of given numbers 765, 456, 520, 112 is 1

2. How to calculate the greatest common divisor of 765, 456, 520, 112?

We can find the highest common divisor of 765, 456, 520, 112 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 765, 456, 520, 112 i.e 1.

3. How can I use the GCD of 765, 456, 520, 112Calculator?

Out the numbers 765, 456, 520, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.