GCD of 612, 123, 271, 315 Calculator

Given Input numbers are 612, 123, 271, 315

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (612, 123, 271, 315) = 1.

Given numbers are 612, 123, 271, 315

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 123 are 3 x 41

Prime factors of 271 are 271

Prime factors of 315 are 3 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 612, 123, 271, 315

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

Apply this formula for all numbers.

Step1:

LCM(612, 123) = 25092

GCD(612, 123) = ( 612 x 123 ) / 25092

= 612 / 123

= 612

Step2:

LCM(3, 271) = 813

GCD(3, 271) = ( 3 x 271 ) / 813

= 3 / 271

= 3

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 612, 123, 271, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 794, 773, 182
• GCD of 832, 391, 945, 142
• GCD of 783, 471, 537, 740
• GCD of 919, 164, 965, 513
• GCD of 571, 491, 999, 399

Given numbers are 612, 123, 271, 315
The greatest common divisor of numbers 612, 123, 271, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 123, 271, 315 is 1.

1. What is the GCD of 612, 123, 271, 315?

GCD of given numbers 612, 123, 271, 315 is 1

2. How to calculate the greatest common divisor of 612, 123, 271, 315?

We can find the highest common divisor of 612, 123, 271, 315 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 612, 123, 271, 315 i.e 1.

3. How can I use the GCD of 612, 123, 271, 315Calculator?

Out the numbers 612, 123, 271, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.