GCD of 316, 728, 932, 648 Calculator

Given Input numbers are 316, 728, 932, 648

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (316, 728, 932, 648) = 4.

Given numbers are 316, 728, 932, 648

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 932 are 2 x 2 x 233

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 316, 728, 932, 648 is 4.

Given numbers are 316, 728, 932, 648

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

Apply this formula for all numbers.

Step1:

LCM(316, 728) = 57512

GCD(316, 728) = ( 316 x 728 ) / 57512

= 316 / 728

= 316

Step2:

LCM(4, 932) = 932

GCD(4, 932) = ( 4 x 932 ) / 932

= 4 / 932

= 4

Step3:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

So, Greatest Common Divisor of 316, 728, 932, 648 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 355, 956, 720
• GCD of 848, 469, 572, 321
• GCD of 878, 417, 478, 417
• GCD of 256, 684, 479, 420
• GCD of 432, 247, 335, 378

Given numbers are 316, 728, 932, 648
The greatest common divisor of numbers 316, 728, 932, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 728, 932, 648 is 4.

1. What is the GCD of 316, 728, 932, 648?

GCD of given numbers 316, 728, 932, 648 is 4

2. How to calculate the greatest common divisor of 316, 728, 932, 648?

We can find the highest common divisor of 316, 728, 932, 648 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 316, 728, 932, 648 i.e 4.

3. How can I use the GCD of 316, 728, 932, 648Calculator?

Out the numbers 316, 728, 932, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.