GCD of 756, 986, 322, 708 Calculator

Given Input numbers are 756, 986, 322, 708

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (756, 986, 322, 708) = 2.

Given numbers are 756, 986, 322, 708

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 986 are 2 x 17 x 29

Prime factors of 322 are 2 x 7 x 23

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 756, 986, 322, 708 is 2.

Given numbers are 756, 986, 322, 708

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

Apply this formula for all numbers.

Step1:

LCM(756, 986) = 372708

GCD(756, 986) = ( 756 x 986 ) / 372708

= 756 / 986

= 756

Step2:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

So, Greatest Common Divisor of 756, 986, 322, 708 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 699, 315, 375
• GCD of 280, 467, 774, 906
• GCD of 448, 869, 644, 897
• GCD of 602, 381, 863, 255
• GCD of 359, 450, 939, 370

Given numbers are 756, 986, 322, 708
The greatest common divisor of numbers 756, 986, 322, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 986, 322, 708 is 2.

1. What is the GCD of 756, 986, 322, 708?

GCD of given numbers 756, 986, 322, 708 is 2

2. How to calculate the greatest common divisor of 756, 986, 322, 708?

We can find the highest common divisor of 756, 986, 322, 708 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, 986, 322, 708 i.e 2.

3. How can I use the GCD of 756, 986, 322, 708Calculator?

Out the numbers 756, 986, 322, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.