GCD of 814, 130, 768, 476 Calculator

Given Input numbers are 814, 130, 768, 476

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (814, 130, 768, 476) = 2.

Given numbers are 814, 130, 768, 476

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 130 are 2 x 5 x 13

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 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 814, 130, 768, 476 is 2.

Given numbers are 814, 130, 768, 476

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

Apply this formula for all numbers.

Step1:

LCM(814, 130) = 52910

GCD(814, 130) = ( 814 x 130 ) / 52910

= 814 / 130

= 814

Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 814, 130, 768, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 105, 667, 865
• GCD of 439, 892, 408, 270
• GCD of 850, 236, 330, 668
• GCD of 579, 283, 628, 584
• GCD of 423, 231, 308, 670

Given numbers are 814, 130, 768, 476
The greatest common divisor of numbers 814, 130, 768, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 130, 768, 476 is 2.

1. What is the GCD of 814, 130, 768, 476?

GCD of given numbers 814, 130, 768, 476 is 2

2. How to calculate the greatest common divisor of 814, 130, 768, 476?

We can find the highest common divisor of 814, 130, 768, 476 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 814, 130, 768, 476 i.e 2.

3. How can I use the GCD of 814, 130, 768, 476Calculator?

Out the numbers 814, 130, 768, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.