GCD of 756, 282, 345, 156 Calculator

Given Input numbers are 756, 282, 345, 156

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (756, 282, 345, 156) = 3.

Given numbers are 756, 282, 345, 156

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 282 are 2 x 3 x 47

Prime factors of 345 are 3 x 5 x 23

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 756, 282, 345, 156 is 3.

Given numbers are 756, 282, 345, 156

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

Apply this formula for all numbers.

Step1:

LCM(756, 282) = 35532

GCD(756, 282) = ( 756 x 282 ) / 35532

= 756 / 282

= 756

Step2:

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

= 6 / 345

= 6

Step3:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

So, Greatest Common Divisor of 756, 282, 345, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 651, 578, 595
• GCD of 901, 582, 994, 269
• GCD of 780, 741, 369, 619
• GCD of 788, 891, 283, 148
• GCD of 835, 995, 542, 683

Given numbers are 756, 282, 345, 156
The greatest common divisor of numbers 756, 282, 345, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 282, 345, 156 is 3.

1. What is the GCD of 756, 282, 345, 156?

GCD of given numbers 756, 282, 345, 156 is 3

2. How to calculate the greatest common divisor of 756, 282, 345, 156?

We can find the highest common divisor of 756, 282, 345, 156 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, 282, 345, 156 i.e 3.

3. How can I use the GCD of 756, 282, 345, 156Calculator?

Out the numbers 756, 282, 345, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.