GCD of 476, 714, 788, 286 Calculator

Given Input numbers are 476, 714, 788, 286

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

GCD of numbers is the greatest common divisor

So, the GCD (476, 714, 788, 286) = 2.

Given numbers are 476, 714, 788, 286

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 788 are 2 x 2 x 197

Prime factors of 286 are 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 476, 714, 788, 286 is 2.

Given numbers are 476, 714, 788, 286

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

Apply this formula for all numbers.

Step1:

LCM(476, 714) = 1428

GCD(476, 714) = ( 476 x 714 ) / 1428

= 476 / 714

= 476

Step2:

LCM(238, 788) = 93772

GCD(238, 788) = ( 238 x 788 ) / 93772

= 238 / 788

= 238

Step3:

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

= 2 / 286

= 2

So, Greatest Common Divisor of 476, 714, 788, 286 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 981, 367, 200
• GCD of 132, 271, 431, 351
• GCD of 191, 550, 604, 593
• GCD of 520, 646, 515, 493
• GCD of 230, 242, 912, 605

Given numbers are 476, 714, 788, 286
The greatest common divisor of numbers 476, 714, 788, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 714, 788, 286 is 2.

1. What is the GCD of 476, 714, 788, 286?

GCD of given numbers 476, 714, 788, 286 is 2

2. How to calculate the greatest common divisor of 476, 714, 788, 286?

We can find the highest common divisor of 476, 714, 788, 286 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 476, 714, 788, 286 i.e 2.

3. How can I use the GCD of 476, 714, 788, 286Calculator?

Out the numbers 476, 714, 788, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.