GCD of 675, 996, 645, 759 Calculator

Given Input numbers are 675, 996, 645, 759

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

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (675, 996, 645, 759) = 3.

Given numbers are 675, 996, 645, 759

The list of prime factors of all numbers are

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 645 are 3 x 5 x 43

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 675, 996, 645, 759 is 3.

Given numbers are 675, 996, 645, 759

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

Apply this formula for all numbers.

Step1:

LCM(675, 996) = 224100

GCD(675, 996) = ( 675 x 996 ) / 224100

= 675 / 996

= 675

Step2:

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

= 3 / 645

= 3

Step3:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

So, Greatest Common Divisor of 675, 996, 645, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 444, 193, 930
• GCD of 331, 943, 445, 394
• GCD of 168, 685, 280, 710
• GCD of 350, 976, 626, 500
• GCD of 330, 343, 495, 709

Given numbers are 675, 996, 645, 759
The greatest common divisor of numbers 675, 996, 645, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 996, 645, 759 is 3.

1. What is the GCD of 675, 996, 645, 759?

GCD of given numbers 675, 996, 645, 759 is 3

2. How to calculate the greatest common divisor of 675, 996, 645, 759?

We can find the highest common divisor of 675, 996, 645, 759 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 675, 996, 645, 759 i.e 3.

3. How can I use the GCD of 675, 996, 645, 759Calculator?

Out the numbers 675, 996, 645, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.