GCD of 496, 108, 465, 540 Calculator

Given Input numbers are 496, 108, 465, 540

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 108 :

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

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (496, 108, 465, 540) = 1.

Given numbers are 496, 108, 465, 540

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 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 465 are 3 x 5 x 31

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 496, 108, 465, 540

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

Apply this formula for all numbers.

Step1:

LCM(496, 108) = 13392

GCD(496, 108) = ( 496 x 108 ) / 13392

= 496 / 108

= 496

Step2:

LCM(4, 465) = 1860

GCD(4, 465) = ( 4 x 465 ) / 1860

= 4 / 465

= 4

Step3:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

So, Greatest Common Divisor of 496, 108, 465, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 527, 477, 973
• GCD of 902, 627, 179, 825
• GCD of 672, 995, 866, 118
• GCD of 504, 446, 127, 188
• GCD of 947, 365, 928, 880

Given numbers are 496, 108, 465, 540
The greatest common divisor of numbers 496, 108, 465, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 108, 465, 540 is 1.

1. What is the GCD of 496, 108, 465, 540?

GCD of given numbers 496, 108, 465, 540 is 1

2. How to calculate the greatest common divisor of 496, 108, 465, 540?

We can find the highest common divisor of 496, 108, 465, 540 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, 108, 465, 540 i.e 1.

3. How can I use the GCD of 496, 108, 465, 540Calculator?

Out the numbers 496, 108, 465, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.