GCD of 312, 146, 260, 364 Calculator

Given Input numbers are 312, 146, 260, 364

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 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (312, 146, 260, 364) = 2.

Given numbers are 312, 146, 260, 364

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 260 are 2 x 2 x 5 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 312, 146, 260, 364 is 2.

Given numbers are 312, 146, 260, 364

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, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

= 2 / 260

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 312, 146, 260, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 902, 861, 812
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Given numbers are 312, 146, 260, 364
The greatest common divisor of numbers 312, 146, 260, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 146, 260, 364 is 2.

1. What is the GCD of 312, 146, 260, 364?

GCD of given numbers 312, 146, 260, 364 is 2

2. How to calculate the greatest common divisor of 312, 146, 260, 364?

We can find the highest common divisor of 312, 146, 260, 364 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, 260, 364 i.e 2.

3. How can I use the GCD of 312, 146, 260, 364Calculator?

Out the numbers 312, 146, 260, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.