GCD of 756, 825, 915, 669 Calculator

Given Input numbers are 756, 825, 915, 669

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (756, 825, 915, 669) = 3.

Given numbers are 756, 825, 915, 669

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 825 are 3 x 5 x 5 x 11

Prime factors of 915 are 3 x 5 x 61

Prime factors of 669 are 3 x 223

The highest common occurrence is 3¹

Therefore, GCD of 756, 825, 915, 669 is 3.

Given numbers are 756, 825, 915, 669

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

Apply this formula for all numbers.

Step1:

LCM(756, 825) = 207900

GCD(756, 825) = ( 756 x 825 ) / 207900

= 756 / 825

= 756

Step2:

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

= 3 / 915

= 3

Step3:

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

= 3 / 669

= 3

So, Greatest Common Divisor of 756, 825, 915, 669 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 153, 476, 952
• GCD of 722, 539, 956, 543
• GCD of 483, 299, 271, 506
• GCD of 747, 841, 835, 911
• GCD of 334, 613, 694, 670

Given numbers are 756, 825, 915, 669
The greatest common divisor of numbers 756, 825, 915, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 825, 915, 669 is 3.

1. What is the GCD of 756, 825, 915, 669?

GCD of given numbers 756, 825, 915, 669 is 3

2. How to calculate the greatest common divisor of 756, 825, 915, 669?

We can find the highest common divisor of 756, 825, 915, 669 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, 825, 915, 669 i.e 3.

3. How can I use the GCD of 756, 825, 915, 669Calculator?

Out the numbers 756, 825, 915, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.