GCD of 828, 492, 912, 672 Calculator

Given Input numbers are 828, 492, 912, 672

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (828, 492, 912, 672) = 12.

Given numbers are 828, 492, 912, 672

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2² x 3¹

Therefore, GCD of 828, 492, 912, 672 is 12.

Given numbers are 828, 492, 912, 672

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

Apply this formula for all numbers.

Step1:

LCM(828, 492) = 33948

GCD(828, 492) = ( 828 x 492 ) / 33948

= 828 / 492

= 828

Step2:

LCM(12, 912) = 912

GCD(12, 912) = ( 12 x 912 ) / 912

= 12 / 912

= 12

Step3:

LCM(12, 672) = 672

GCD(12, 672) = ( 12 x 672 ) / 672

= 12 / 672

= 12

So, Greatest Common Divisor of 828, 492, 912, 672 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 842, 682, 550
• GCD of 187, 172, 390, 389
• GCD of 842, 993, 146, 780
• GCD of 977, 641, 848, 581
• GCD of 649, 965, 845, 512

Given numbers are 828, 492, 912, 672
The greatest common divisor of numbers 828, 492, 912, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 492, 912, 672 is 12.

1. What is the GCD of 828, 492, 912, 672?

GCD of given numbers 828, 492, 912, 672 is 12

2. How to calculate the greatest common divisor of 828, 492, 912, 672?

We can find the highest common divisor of 828, 492, 912, 672 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 828, 492, 912, 672 i.e 12.

3. How can I use the GCD of 828, 492, 912, 672Calculator?

Out the numbers 828, 492, 912, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.