GCD of 496, 988, 920 Calculator

Given Input numbers are 496, 988, 920

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

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 (496, 988, 920) = 4.

Given numbers are 496, 988, 920

The list of prime factors of all numbers are

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

Prime factors of 988 are 2 x 2 x 13 x 19

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

The highest common occurrence is 2²

Therefore, GCD of 496, 988, 920 is 4.

Given numbers are 496, 988, 920

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

Apply this formula for all numbers.

Step1:

LCM(496, 988) = 122512

GCD(496, 988) = ( 496 x 988 ) / 122512

= 496 / 988

= 496

Step2:

LCM(4, 920) = 920

GCD(4, 920) = ( 4 x 920 ) / 920

= 4 / 920

= 4

So, Greatest Common Divisor of 496, 988, 920 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 257, 904
• GCD of 515, 137, 477
• GCD of 561, 250, 429
• GCD of 945, 297, 953
• GCD of 831, 419, 222

Given numbers are 496, 988, 920
The greatest common divisor of numbers 496, 988, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 988, 920 is 4.

1. What is the GCD of 496, 988, 920?

GCD of given numbers 496, 988, 920 is 4

2. How to calculate the greatest common divisor of 496, 988, 920?

We can find the highest common divisor of 496, 988, 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 496, 988, 920 i.e 4.

3. How can I use the GCD of 496, 988, 920Calculator?

Out the numbers 496, 988, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.