GCD of 768, 896, 820, 250 Calculator

Given Input numbers are 768, 896, 820, 250

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

GCD of numbers is the greatest common divisor

So, the GCD (768, 896, 820, 250) = 2.

Given numbers are 768, 896, 820, 250

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 768, 896, 820, 250 is 2.

Given numbers are 768, 896, 820, 250

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

Apply this formula for all numbers.

Step1:

LCM(768, 896) = 5376

GCD(768, 896) = ( 768 x 896 ) / 5376

= 768 / 896

= 768

Step2:

LCM(128, 820) = 26240

GCD(128, 820) = ( 128 x 820 ) / 26240

= 128 / 820

= 128

Step3:

LCM(4, 250) = 500

GCD(4, 250) = ( 4 x 250 ) / 500

= 4 / 250

= 4

So, Greatest Common Divisor of 768, 896, 820, 250 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 300, 414, 179
• GCD of 741, 648, 237, 298
• GCD of 414, 907, 642, 449
• GCD of 850, 790, 117, 798
• GCD of 705, 237, 661, 776

Given numbers are 768, 896, 820, 250
The greatest common divisor of numbers 768, 896, 820, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 896, 820, 250 is 2.

1. What is the GCD of 768, 896, 820, 250?

GCD of given numbers 768, 896, 820, 250 is 2

2. How to calculate the greatest common divisor of 768, 896, 820, 250?

We can find the highest common divisor of 768, 896, 820, 250 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 768, 896, 820, 250 i.e 2.

3. How can I use the GCD of 768, 896, 820, 250Calculator?

Out the numbers 768, 896, 820, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.