GCD of 516, 957, 363, 882 Calculator

Given Input numbers are 516, 957, 363, 882

In the factoring method, we have to find the divisors of all numbers

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (516, 957, 363, 882) = 3.

Given numbers are 516, 957, 363, 882

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 957 are 3 x 11 x 29

Prime factors of 363 are 3 x 11 x 11

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 516, 957, 363, 882 is 3.

Given numbers are 516, 957, 363, 882

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

Apply this formula for all numbers.

Step1:

LCM(516, 957) = 164604

GCD(516, 957) = ( 516 x 957 ) / 164604

= 516 / 957

= 516

Step2:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

Step3:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 516, 957, 363, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 657, 728, 512
• GCD of 777, 351, 629, 738
• GCD of 926, 684, 913, 807
• GCD of 161, 172, 161, 222
• GCD of 266, 850, 898, 966

Given numbers are 516, 957, 363, 882
The greatest common divisor of numbers 516, 957, 363, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 957, 363, 882 is 3.

1. What is the GCD of 516, 957, 363, 882?

GCD of given numbers 516, 957, 363, 882 is 3

2. How to calculate the greatest common divisor of 516, 957, 363, 882?

We can find the highest common divisor of 516, 957, 363, 882 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 516, 957, 363, 882 i.e 3.

3. How can I use the GCD of 516, 957, 363, 882Calculator?

Out the numbers 516, 957, 363, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.