GCD of 118, 314, 124, 588 Calculator

Given Input numbers are 118, 314, 124, 588

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 124 :

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

1, 2, 4, 31, 62, 124

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (118, 314, 124, 588) = 2.

Given numbers are 118, 314, 124, 588

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 314 are 2 x 157

Prime factors of 124 are 2 x 2 x 31

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 118, 314, 124, 588 is 2.

Given numbers are 118, 314, 124, 588

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

Apply this formula for all numbers.

Step1:

LCM(118, 314) = 18526

GCD(118, 314) = ( 118 x 314 ) / 18526

= 118 / 314

= 118

Step2:

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

= 2 / 124

= 2

Step3:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

So, Greatest Common Divisor of 118, 314, 124, 588 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 282, 411, 883
• GCD of 836, 902, 755, 480
• GCD of 835, 654, 706, 989
• GCD of 243, 262, 196, 336
• GCD of 372, 845, 572, 906

Given numbers are 118, 314, 124, 588
The greatest common divisor of numbers 118, 314, 124, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 314, 124, 588 is 2.

1. What is the GCD of 118, 314, 124, 588?

GCD of given numbers 118, 314, 124, 588 is 2

2. How to calculate the greatest common divisor of 118, 314, 124, 588?

We can find the highest common divisor of 118, 314, 124, 588 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 118, 314, 124, 588 i.e 2.

3. How can I use the GCD of 118, 314, 124, 588Calculator?

Out the numbers 118, 314, 124, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.