GCD of 496, 208, 668, 408 Calculator

Given Input numbers are 496, 208, 668, 408

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

Divisors of 496 :

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

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (496, 208, 668, 408) = 4.

Given numbers are 496, 208, 668, 408

The list of prime factors of all numbers are

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 668 are 2 x 2 x 167

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2²

Therefore, GCD of 496, 208, 668, 408 is 4.

Given numbers are 496, 208, 668, 408

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

Apply this formula for all numbers.

Step1:

LCM(496, 208) = 6448

GCD(496, 208) = ( 496 x 208 ) / 6448

= 496 / 208

= 496

Step2:

LCM(16, 668) = 2672

GCD(16, 668) = ( 16 x 668 ) / 2672

= 16 / 668

= 16

Step3:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4

So, Greatest Common Divisor of 496, 208, 668, 408 is 4

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• GCD of 563, 923, 731, 947
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Given numbers are 496, 208, 668, 408
The greatest common divisor of numbers 496, 208, 668, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 208, 668, 408 is 4.

1. What is the GCD of 496, 208, 668, 408?

GCD of given numbers 496, 208, 668, 408 is 4

2. How to calculate the greatest common divisor of 496, 208, 668, 408?

We can find the highest common divisor of 496, 208, 668, 408 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 496, 208, 668, 408 i.e 4.

3. How can I use the GCD of 496, 208, 668, 408Calculator?

Out the numbers 496, 208, 668, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.