GCD of 756, 506, 310, 338 Calculator

Given Input numbers are 756, 506, 310, 338

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (756, 506, 310, 338) = 2.

Given numbers are 756, 506, 310, 338

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 506 are 2 x 11 x 23

Prime factors of 310 are 2 x 5 x 31

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 756, 506, 310, 338 is 2.

Given numbers are 756, 506, 310, 338

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

Apply this formula for all numbers.

Step1:

LCM(756, 506) = 191268

GCD(756, 506) = ( 756 x 506 ) / 191268

= 756 / 506

= 756

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 756, 506, 310, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 911, 221, 541
• GCD of 825, 363, 391, 705
• GCD of 703, 103, 592, 617
• GCD of 764, 205, 545, 567
• GCD of 917, 956, 588, 339

Given numbers are 756, 506, 310, 338
The greatest common divisor of numbers 756, 506, 310, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 506, 310, 338 is 2.

1. What is the GCD of 756, 506, 310, 338?

GCD of given numbers 756, 506, 310, 338 is 2

2. How to calculate the greatest common divisor of 756, 506, 310, 338?

We can find the highest common divisor of 756, 506, 310, 338 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, 506, 310, 338 i.e 2.

3. How can I use the GCD of 756, 506, 310, 338Calculator?

Out the numbers 756, 506, 310, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.