GCD of 756, 174, 90, 678 Calculator

Given Input numbers are 756, 174, 90, 678

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (756, 174, 90, 678) = 6.

Given numbers are 756, 174, 90, 678

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 174 are 2 x 3 x 29

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 756, 174, 90, 678 is 6.

Given numbers are 756, 174, 90, 678

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

Apply this formula for all numbers.

Step1:

LCM(756, 174) = 21924

GCD(756, 174) = ( 756 x 174 ) / 21924

= 756 / 174

= 756

Step2:

LCM(6, 90) = 90

GCD(6, 90) = ( 6 x 90 ) / 90

= 6 / 90

= 6

Step3:

LCM(6, 678) = 678

GCD(6, 678) = ( 6 x 678 ) / 678

= 6 / 678

= 6

So, Greatest Common Divisor of 756, 174, 90, 678 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 237, 70, 748
• GCD of 378, 645, 87, 512
• GCD of 604, 162, 39, 188
• GCD of 632, 556, 57, 790
• GCD of 794, 147, 14, 163

Given numbers are 756, 174, 90, 678
The greatest common divisor of numbers 756, 174, 90, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 174, 90, 678 is 6.

1. What is the GCD of 756, 174, 90, 678?

GCD of given numbers 756, 174, 90, 678 is 6

2. How to calculate the greatest common divisor of 756, 174, 90, 678?

We can find the highest common divisor of 756, 174, 90, 678 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, 174, 90, 678 i.e 6.

3. How can I use the GCD of 756, 174, 90, 678Calculator?

Out the numbers 756, 174, 90, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.