GCD of 500, 760, 256, 158 Calculator

Given Input numbers are 500, 760, 256, 158

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

GCD of numbers is the greatest common divisor

So, the GCD (500, 760, 256, 158) = 2.

Given numbers are 500, 760, 256, 158

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 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 158 are 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 500, 760, 256, 158 is 2.

Given numbers are 500, 760, 256, 158

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

Apply this formula for all numbers.

Step1:

LCM(500, 760) = 19000

GCD(500, 760) = ( 500 x 760 ) / 19000

= 500 / 760

= 500

Step2:

LCM(20, 256) = 1280

GCD(20, 256) = ( 20 x 256 ) / 1280

= 20 / 256

= 20

Step3:

LCM(4, 158) = 316

GCD(4, 158) = ( 4 x 158 ) / 316

= 4 / 158

= 4

So, Greatest Common Divisor of 500, 760, 256, 158 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 876, 864, 444
• GCD of 790, 869, 985, 731
• GCD of 288, 185, 263, 516
• GCD of 700, 155, 494, 771
• GCD of 901, 271, 853, 654

Given numbers are 500, 760, 256, 158
The greatest common divisor of numbers 500, 760, 256, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 760, 256, 158 is 2.

1. What is the GCD of 500, 760, 256, 158?

GCD of given numbers 500, 760, 256, 158 is 2

2. How to calculate the greatest common divisor of 500, 760, 256, 158?

We can find the highest common divisor of 500, 760, 256, 158 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, 760, 256, 158 i.e 2.

3. How can I use the GCD of 500, 760, 256, 158Calculator?

Out the numbers 500, 760, 256, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.