GCD of 478, 224, 286, 676 Calculator

Given Input numbers are 478, 224, 286, 676

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 286 :

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

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (478, 224, 286, 676) = 2.

Given numbers are 478, 224, 286, 676

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 286 are 2 x 11 x 13

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 478, 224, 286, 676 is 2.

Given numbers are 478, 224, 286, 676

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

Apply this formula for all numbers.

Step1:

LCM(478, 224) = 53536

GCD(478, 224) = ( 478 x 224 ) / 53536

= 478 / 224

= 478

Step2:

LCM(2, 286) = 286

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

= 2 / 286

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 478, 224, 286, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 258, 668, 361
• GCD of 872, 567, 392, 181
• GCD of 225, 637, 459, 478
• GCD of 342, 603, 708, 243
• GCD of 581, 618, 373, 835

Given numbers are 478, 224, 286, 676
The greatest common divisor of numbers 478, 224, 286, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 224, 286, 676 is 2.

1. What is the GCD of 478, 224, 286, 676?

GCD of given numbers 478, 224, 286, 676 is 2

2. How to calculate the greatest common divisor of 478, 224, 286, 676?

We can find the highest common divisor of 478, 224, 286, 676 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 478, 224, 286, 676 i.e 2.

3. How can I use the GCD of 478, 224, 286, 676Calculator?

Out the numbers 478, 224, 286, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.