GCD of 500, 568, 748, 501 Calculator

Given Input numbers are 500, 568, 748, 501

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

GCD of numbers is the greatest common divisor

So, the GCD (500, 568, 748, 501) = 1.

Given numbers are 500, 568, 748, 501

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 568 are 2 x 2 x 2 x 71

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

Prime factors of 501 are 3 x 167

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

Given numbers are 500, 568, 748, 501

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

Apply this formula for all numbers.

Step1:

LCM(500, 568) = 71000

GCD(500, 568) = ( 500 x 568 ) / 71000

= 500 / 568

= 500

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 501) = 2004

GCD(4, 501) = ( 4 x 501 ) / 2004

= 4 / 501

= 4

So, Greatest Common Divisor of 500, 568, 748, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 236, 835, 759
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• GCD of 766, 400, 411, 122
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• GCD of 466, 515, 496, 600

Given numbers are 500, 568, 748, 501
The greatest common divisor of numbers 500, 568, 748, 501 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 568, 748, 501 is 1.

1. What is the GCD of 500, 568, 748, 501?

GCD of given numbers 500, 568, 748, 501 is 1

2. How to calculate the greatest common divisor of 500, 568, 748, 501?

We can find the highest common divisor of 500, 568, 748, 501 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 500, 568, 748, 501 i.e 1.

3. How can I use the GCD of 500, 568, 748, 501Calculator?

Out the numbers 500, 568, 748, 501 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.