GCD of 496, 728, 578, 121 Calculator

Given Input numbers are 496, 728, 578, 121

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

GCD of numbers is the greatest common divisor

So, the GCD (496, 728, 578, 121) = 1.

Given numbers are 496, 728, 578, 121

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 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 578 are 2 x 17 x 17

Prime factors of 121 are 11 x 11

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

Given numbers are 496, 728, 578, 121

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

Apply this formula for all numbers.

Step1:

LCM(496, 728) = 45136

GCD(496, 728) = ( 496 x 728 ) / 45136

= 496 / 728

= 496

Step2:

LCM(8, 578) = 2312

GCD(8, 578) = ( 8 x 578 ) / 2312

= 8 / 578

= 8

Step3:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2

So, Greatest Common Divisor of 496, 728, 578, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 976, 545, 847
• GCD of 177, 571, 409, 377
• GCD of 279, 628, 391, 602
• GCD of 981, 407, 714, 495
• GCD of 990, 879, 291, 734

Given numbers are 496, 728, 578, 121
The greatest common divisor of numbers 496, 728, 578, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 728, 578, 121 is 1.

1. What is the GCD of 496, 728, 578, 121?

GCD of given numbers 496, 728, 578, 121 is 1

2. How to calculate the greatest common divisor of 496, 728, 578, 121?

We can find the highest common divisor of 496, 728, 578, 121 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, 728, 578, 121 i.e 1.

3. How can I use the GCD of 496, 728, 578, 121Calculator?

Out the numbers 496, 728, 578, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.