GCD of 118, 496, 314, 920 Calculator

Given Input numbers are 118, 496, 314, 920

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (118, 496, 314, 920) = 2.

Given numbers are 118, 496, 314, 920

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 314 are 2 x 157

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 118, 496, 314, 920 is 2.

Given numbers are 118, 496, 314, 920

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

Apply this formula for all numbers.

Step1:

LCM(118, 496) = 29264

GCD(118, 496) = ( 118 x 496 ) / 29264

= 118 / 496

= 118

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 118, 496, 314, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 788, 229, 950
• GCD of 673, 259, 120, 681
• GCD of 639, 478, 707, 979
• GCD of 761, 809, 830, 572
• GCD of 622, 320, 673, 521

Given numbers are 118, 496, 314, 920
The greatest common divisor of numbers 118, 496, 314, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 496, 314, 920 is 2.

1. What is the GCD of 118, 496, 314, 920?

GCD of given numbers 118, 496, 314, 920 is 2

2. How to calculate the greatest common divisor of 118, 496, 314, 920?

We can find the highest common divisor of 118, 496, 314, 920 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, 496, 314, 920 i.e 2.

3. How can I use the GCD of 118, 496, 314, 920Calculator?

Out the numbers 118, 496, 314, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.