GCD of 584, 678, 966, 136 Calculator

Given Input numbers are 584, 678, 966, 136

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (584, 678, 966, 136) = 2.

Given numbers are 584, 678, 966, 136

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 678 are 2 x 3 x 113

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 136 are 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 584, 678, 966, 136 is 2.

Given numbers are 584, 678, 966, 136

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

Apply this formula for all numbers.

Step1:

LCM(584, 678) = 197976

GCD(584, 678) = ( 584 x 678 ) / 197976

= 584 / 678

= 584

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

So, Greatest Common Divisor of 584, 678, 966, 136 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 409, 769, 991
• GCD of 887, 245, 113, 851
• GCD of 542, 746, 213, 479
• GCD of 986, 977, 317, 395
• GCD of 483, 266, 633, 207

Given numbers are 584, 678, 966, 136
The greatest common divisor of numbers 584, 678, 966, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 678, 966, 136 is 2.

1. What is the GCD of 584, 678, 966, 136?

GCD of given numbers 584, 678, 966, 136 is 2

2. How to calculate the greatest common divisor of 584, 678, 966, 136?

We can find the highest common divisor of 584, 678, 966, 136 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 584, 678, 966, 136 i.e 2.

3. How can I use the GCD of 584, 678, 966, 136Calculator?

Out the numbers 584, 678, 966, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.