GCD of 312, 404, 262, 672 Calculator

Given Input numbers are 312, 404, 262, 672

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

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 (312, 404, 262, 672) = 2.

Given numbers are 312, 404, 262, 672

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 404 are 2 x 2 x 101

Prime factors of 262 are 2 x 131

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

The highest common occurrence is 2¹

Therefore, GCD of 312, 404, 262, 672 is 2.

Given numbers are 312, 404, 262, 672

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

Apply this formula for all numbers.

Step1:

LCM(312, 404) = 31512

GCD(312, 404) = ( 312 x 404 ) / 31512

= 312 / 404

= 312

Step2:

LCM(4, 262) = 524

GCD(4, 262) = ( 4 x 262 ) / 524

= 4 / 262

= 4

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 312, 404, 262, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 528, 305, 487
• GCD of 493, 693, 682, 690
• GCD of 331, 547, 874, 475
• GCD of 936, 449, 870, 139
• GCD of 479, 334, 355, 218

Given numbers are 312, 404, 262, 672
The greatest common divisor of numbers 312, 404, 262, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 404, 262, 672 is 2.

1. What is the GCD of 312, 404, 262, 672?

GCD of given numbers 312, 404, 262, 672 is 2

2. How to calculate the greatest common divisor of 312, 404, 262, 672?

We can find the highest common divisor of 312, 404, 262, 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 312, 404, 262, 672 i.e 2.

3. How can I use the GCD of 312, 404, 262, 672Calculator?

Out the numbers 312, 404, 262, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.