GCD of 478, 564, 462, 282 Calculator

Given Input numbers are 478, 564, 462, 282

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (478, 564, 462, 282) = 2.

Given numbers are 478, 564, 462, 282

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 478, 564, 462, 282 is 2.

Given numbers are 478, 564, 462, 282

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

Apply this formula for all numbers.

Step1:

LCM(478, 564) = 134796

GCD(478, 564) = ( 478 x 564 ) / 134796

= 478 / 564

= 478

Step2:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

Step3:

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

= 2 / 282

= 2

So, Greatest Common Divisor of 478, 564, 462, 282 is 2

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• GCD of 877, 717, 570, 569
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Given numbers are 478, 564, 462, 282
The greatest common divisor of numbers 478, 564, 462, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 564, 462, 282 is 2.

1. What is the GCD of 478, 564, 462, 282?

GCD of given numbers 478, 564, 462, 282 is 2

2. How to calculate the greatest common divisor of 478, 564, 462, 282?

We can find the highest common divisor of 478, 564, 462, 282 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, 564, 462, 282 i.e 2.

3. How can I use the GCD of 478, 564, 462, 282Calculator?

Out the numbers 478, 564, 462, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.