GCD of 559, 496, 609, 748 Calculator

Given Input numbers are 559, 496, 609, 748

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

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (559, 496, 609, 748) = 1.

Given numbers are 559, 496, 609, 748

The list of prime factors of all numbers are

Prime factors of 559 are 13 x 43

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

Prime factors of 609 are 3 x 7 x 29

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 559, 496, 609, 748

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

Apply this formula for all numbers.

Step1:

LCM(559, 496) = 277264

GCD(559, 496) = ( 559 x 496 ) / 277264

= 559 / 496

= 559

Step2:

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

= 1 / 609

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 559, 496, 609, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 636, 361, 895
• GCD of 126, 710, 573, 607
• GCD of 850, 268, 668, 197
• GCD of 608, 917, 968, 396
• GCD of 752, 353, 591, 404

Given numbers are 559, 496, 609, 748
The greatest common divisor of numbers 559, 496, 609, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 496, 609, 748 is 1.

1. What is the GCD of 559, 496, 609, 748?

GCD of given numbers 559, 496, 609, 748 is 1

2. How to calculate the greatest common divisor of 559, 496, 609, 748?

We can find the highest common divisor of 559, 496, 609, 748 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 559, 496, 609, 748 i.e 1.

3. How can I use the GCD of 559, 496, 609, 748Calculator?

Out the numbers 559, 496, 609, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.