GCD of 312, 206, 142, 476 Calculator

Given Input numbers are 312, 206, 142, 476

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 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (312, 206, 142, 476) = 2.

Given numbers are 312, 206, 142, 476

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 206 are 2 x 103

Prime factors of 142 are 2 x 71

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 312, 206, 142, 476 is 2.

Given numbers are 312, 206, 142, 476

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

Apply this formula for all numbers.

Step1:

LCM(312, 206) = 32136

GCD(312, 206) = ( 312 x 206 ) / 32136

= 312 / 206

= 312

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 312, 206, 142, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 649, 467, 438
• GCD of 143, 621, 339, 444
• GCD of 387, 695, 202, 689
• GCD of 510, 325, 173, 414
• GCD of 441, 468, 230, 856

Given numbers are 312, 206, 142, 476
The greatest common divisor of numbers 312, 206, 142, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 206, 142, 476 is 2.

1. What is the GCD of 312, 206, 142, 476?

GCD of given numbers 312, 206, 142, 476 is 2

2. How to calculate the greatest common divisor of 312, 206, 142, 476?

We can find the highest common divisor of 312, 206, 142, 476 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, 206, 142, 476 i.e 2.

3. How can I use the GCD of 312, 206, 142, 476Calculator?

Out the numbers 312, 206, 142, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.