GCD of 256, 500, 236, 676 Calculator

Given Input numbers are 256, 500, 236, 676

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

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 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 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (256, 500, 236, 676) = 4.

Given numbers are 256, 500, 236, 676

The list of prime factors of all numbers are

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

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

Prime factors of 236 are 2 x 2 x 59

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2²

Therefore, GCD of 256, 500, 236, 676 is 4.

Given numbers are 256, 500, 236, 676

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

Apply this formula for all numbers.

Step1:

LCM(256, 500) = 32000

GCD(256, 500) = ( 256 x 500 ) / 32000

= 256 / 500

= 256

Step2:

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

= 4 / 236

= 4

Step3:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

So, Greatest Common Divisor of 256, 500, 236, 676 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 601, 145, 596
• GCD of 789, 676, 867, 553
• GCD of 731, 238, 165, 576
• GCD of 164, 648, 148, 985
• GCD of 831, 469, 953, 261

Given numbers are 256, 500, 236, 676
The greatest common divisor of numbers 256, 500, 236, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 500, 236, 676 is 4.

1. What is the GCD of 256, 500, 236, 676?

GCD of given numbers 256, 500, 236, 676 is 4

2. How to calculate the greatest common divisor of 256, 500, 236, 676?

We can find the highest common divisor of 256, 500, 236, 676 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 256, 500, 236, 676 i.e 4.

3. How can I use the GCD of 256, 500, 236, 676Calculator?

Out the numbers 256, 500, 236, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.