GCD of 476, 686, 334, 496 Calculator

Given Input numbers are 476, 686, 334, 496

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (476, 686, 334, 496) = 2.

Given numbers are 476, 686, 334, 496

The list of prime factors of all numbers are

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 334 are 2 x 167

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 476, 686, 334, 496 is 2.

Given numbers are 476, 686, 334, 496

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

Apply this formula for all numbers.

Step1:

LCM(476, 686) = 23324

GCD(476, 686) = ( 476 x 686 ) / 23324

= 476 / 686

= 476

Step2:

LCM(14, 334) = 2338

GCD(14, 334) = ( 14 x 334 ) / 2338

= 14 / 334

= 14

Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

So, Greatest Common Divisor of 476, 686, 334, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 688, 194, 565
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• GCD of 303, 420, 193, 696
• GCD of 920, 702, 516, 739
• GCD of 742, 550, 499, 445

Given numbers are 476, 686, 334, 496
The greatest common divisor of numbers 476, 686, 334, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 686, 334, 496 is 2.

1. What is the GCD of 476, 686, 334, 496?

GCD of given numbers 476, 686, 334, 496 is 2

2. How to calculate the greatest common divisor of 476, 686, 334, 496?

We can find the highest common divisor of 476, 686, 334, 496 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, 686, 334, 496 i.e 2.

3. How can I use the GCD of 476, 686, 334, 496Calculator?

Out the numbers 476, 686, 334, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.