GCD of 232, 498, 978, 108 Calculator

Given Input numbers are 232, 498, 978, 108

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (232, 498, 978, 108) = 2.

Given numbers are 232, 498, 978, 108

The list of prime factors of all numbers are

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 498 are 2 x 3 x 83

Prime factors of 978 are 2 x 3 x 163

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 232, 498, 978, 108 is 2.

Given numbers are 232, 498, 978, 108

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

Apply this formula for all numbers.

Step1:

LCM(232, 498) = 57768

GCD(232, 498) = ( 232 x 498 ) / 57768

= 232 / 498

= 232

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 232, 498, 978, 108 is 2

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• GCD of 731, 729, 880, 809
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Given numbers are 232, 498, 978, 108
The greatest common divisor of numbers 232, 498, 978, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 498, 978, 108 is 2.

1. What is the GCD of 232, 498, 978, 108?

GCD of given numbers 232, 498, 978, 108 is 2

2. How to calculate the greatest common divisor of 232, 498, 978, 108?

We can find the highest common divisor of 232, 498, 978, 108 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 232, 498, 978, 108 i.e 2.

3. How can I use the GCD of 232, 498, 978, 108Calculator?

Out the numbers 232, 498, 978, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.