GCD of 496, 724, 427 Calculator

Given Input numbers are 496, 724, 427

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (496, 724, 427) = 1.

Given numbers are 496, 724, 427

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 724 are 2 x 2 x 181

Prime factors of 427 are 7 x 61

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

Given numbers are 496, 724, 427

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

Apply this formula for all numbers.

Step1:

LCM(496, 724) = 89776

GCD(496, 724) = ( 496 x 724 ) / 89776

= 496 / 724

= 496

Step2:

LCM(4, 427) = 1708

GCD(4, 427) = ( 4 x 427 ) / 1708

= 4 / 427

= 4

So, Greatest Common Divisor of 496, 724, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 384, 965
• GCD of 893, 959, 262
• GCD of 628, 242, 842
• GCD of 314, 209, 555
• GCD of 871, 139, 790

Given numbers are 496, 724, 427
The greatest common divisor of numbers 496, 724, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 724, 427 is 1.

1. What is the GCD of 496, 724, 427?

GCD of given numbers 496, 724, 427 is 1

2. How to calculate the greatest common divisor of 496, 724, 427?

We can find the highest common divisor of 496, 724, 427 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, 724, 427 i.e 1.

3. How can I use the GCD of 496, 724, 427Calculator?

Out the numbers 496, 724, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.