GCD of 312, 146, 548, 252 Calculator

Given Input numbers are 312, 146, 548, 252

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (312, 146, 548, 252) = 2.

Given numbers are 312, 146, 548, 252

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 146 are 2 x 73

Prime factors of 548 are 2 x 2 x 137

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 312, 146, 548, 252 is 2.

Given numbers are 312, 146, 548, 252

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

Apply this formula for all numbers.

Step1:

LCM(312, 146) = 22776

GCD(312, 146) = ( 312 x 146 ) / 22776

= 312 / 146

= 312

Step2:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 312, 146, 548, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 466, 110, 811
• GCD of 378, 666, 275, 982
• GCD of 479, 203, 359, 569
• GCD of 239, 500, 890, 279
• GCD of 147, 512, 466, 934

Given numbers are 312, 146, 548, 252
The greatest common divisor of numbers 312, 146, 548, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 146, 548, 252 is 2.

1. What is the GCD of 312, 146, 548, 252?

GCD of given numbers 312, 146, 548, 252 is 2

2. How to calculate the greatest common divisor of 312, 146, 548, 252?

We can find the highest common divisor of 312, 146, 548, 252 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, 146, 548, 252 i.e 2.

3. How can I use the GCD of 312, 146, 548, 252Calculator?

Out the numbers 312, 146, 548, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.