GCD of 500, 248, 735, 536 Calculator

Given Input numbers are 500, 248, 735, 536

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

GCD of numbers is the greatest common divisor

So, the GCD (500, 248, 735, 536) = 1.

Given numbers are 500, 248, 735, 536

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 248 are 2 x 2 x 2 x 31

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 536 are 2 x 2 x 2 x 67

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

Given numbers are 500, 248, 735, 536

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

Apply this formula for all numbers.

Step1:

LCM(500, 248) = 31000

GCD(500, 248) = ( 500 x 248 ) / 31000

= 500 / 248

= 500

Step2:

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

= 4 / 735

= 4

Step3:

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

= 1 / 536

= 1

So, Greatest Common Divisor of 500, 248, 735, 536 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 930, 453, 525
• GCD of 147, 976, 681, 666
• GCD of 195, 668, 687, 830
• GCD of 217, 144, 283, 420
• GCD of 501, 351, 259, 159

Given numbers are 500, 248, 735, 536
The greatest common divisor of numbers 500, 248, 735, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 248, 735, 536 is 1.

1. What is the GCD of 500, 248, 735, 536?

GCD of given numbers 500, 248, 735, 536 is 1

2. How to calculate the greatest common divisor of 500, 248, 735, 536?

We can find the highest common divisor of 500, 248, 735, 536 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, 248, 735, 536 i.e 1.

3. How can I use the GCD of 500, 248, 735, 536Calculator?

Out the numbers 500, 248, 735, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.