GCD of 282, 364, 616, 178 Calculator

Given Input numbers are 282, 364, 616, 178

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

Divisors of 282 :

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

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (282, 364, 616, 178) = 2.

Given numbers are 282, 364, 616, 178

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 282, 364, 616, 178 is 2.

Given numbers are 282, 364, 616, 178

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

Apply this formula for all numbers.

Step1:

LCM(282, 364) = 51324

GCD(282, 364) = ( 282 x 364 ) / 51324

= 282 / 364

= 282

Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 282, 364, 616, 178 is 2

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Given numbers are 282, 364, 616, 178
The greatest common divisor of numbers 282, 364, 616, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 364, 616, 178 is 2.

1. What is the GCD of 282, 364, 616, 178?

GCD of given numbers 282, 364, 616, 178 is 2

2. How to calculate the greatest common divisor of 282, 364, 616, 178?

We can find the highest common divisor of 282, 364, 616, 178 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 282, 364, 616, 178 i.e 2.

3. How can I use the GCD of 282, 364, 616, 178Calculator?

Out the numbers 282, 364, 616, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.