GCD of 765, 646, 100, 675 Calculator

Given Input numbers are 765, 646, 100, 675

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 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (765, 646, 100, 675) = 1.

Given numbers are 765, 646, 100, 675

The list of prime factors of all numbers are

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

Prime factors of 646 are 2 x 17 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 765, 646, 100, 675

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

Apply this formula for all numbers.

Step1:

LCM(765, 646) = 29070

GCD(765, 646) = ( 765 x 646 ) / 29070

= 765 / 646

= 765

Step2:

LCM(17, 100) = 1700

GCD(17, 100) = ( 17 x 100 ) / 1700

= 17 / 100

= 17

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 765, 646, 100, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 223, 932, 341
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• GCD of 189, 827, 334, 883
• GCD of 692, 697, 569, 276
• GCD of 937, 903, 601, 230

Given numbers are 765, 646, 100, 675
The greatest common divisor of numbers 765, 646, 100, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 646, 100, 675 is 1.

1. What is the GCD of 765, 646, 100, 675?

GCD of given numbers 765, 646, 100, 675 is 1

2. How to calculate the greatest common divisor of 765, 646, 100, 675?

We can find the highest common divisor of 765, 646, 100, 675 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, 646, 100, 675 i.e 1.

3. How can I use the GCD of 765, 646, 100, 675Calculator?

Out the numbers 765, 646, 100, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.