GCD of 124, 312, 582, 712 Calculator

Given Input numbers are 124, 312, 582, 712

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

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (124, 312, 582, 712) = 2.

Given numbers are 124, 312, 582, 712

The list of prime factors of all numbers are

Prime factors of 124 are 2 x 2 x 31

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

Prime factors of 582 are 2 x 3 x 97

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 124, 312, 582, 712 is 2.

Given numbers are 124, 312, 582, 712

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

Apply this formula for all numbers.

Step1:

LCM(124, 312) = 9672

GCD(124, 312) = ( 124 x 312 ) / 9672

= 124 / 312

= 124

Step2:

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

= 4 / 582

= 4

Step3:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

So, Greatest Common Divisor of 124, 312, 582, 712 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 763, 582, 945
• GCD of 998, 684, 323, 584
• GCD of 646, 948, 549, 625
• GCD of 439, 774, 482, 575
• GCD of 920, 371, 732, 854

Given numbers are 124, 312, 582, 712
The greatest common divisor of numbers 124, 312, 582, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 312, 582, 712 is 2.

1. What is the GCD of 124, 312, 582, 712?

GCD of given numbers 124, 312, 582, 712 is 2

2. How to calculate the greatest common divisor of 124, 312, 582, 712?

We can find the highest common divisor of 124, 312, 582, 712 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 124, 312, 582, 712 i.e 2.

3. How can I use the GCD of 124, 312, 582, 712Calculator?

Out the numbers 124, 312, 582, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.