GCD of 584, 152, 208, 348 Calculator

Given Input numbers are 584, 152, 208, 348

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (584, 152, 208, 348) = 4.

Given numbers are 584, 152, 208, 348

The list of prime factors of all numbers are

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

Prime factors of 152 are 2 x 2 x 2 x 19

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

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2²

Therefore, GCD of 584, 152, 208, 348 is 4.

Given numbers are 584, 152, 208, 348

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

Apply this formula for all numbers.

Step1:

LCM(584, 152) = 11096

GCD(584, 152) = ( 584 x 152 ) / 11096

= 584 / 152

= 584

Step2:

LCM(8, 208) = 208

GCD(8, 208) = ( 8 x 208 ) / 208

= 8 / 208

= 8

Step3:

LCM(8, 348) = 696

GCD(8, 348) = ( 8 x 348 ) / 696

= 8 / 348

= 8

So, Greatest Common Divisor of 584, 152, 208, 348 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 722, 981, 324
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Given numbers are 584, 152, 208, 348
The greatest common divisor of numbers 584, 152, 208, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 152, 208, 348 is 4.

1. What is the GCD of 584, 152, 208, 348?

GCD of given numbers 584, 152, 208, 348 is 4

2. How to calculate the greatest common divisor of 584, 152, 208, 348?

We can find the highest common divisor of 584, 152, 208, 348 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, 152, 208, 348 i.e 4.

3. How can I use the GCD of 584, 152, 208, 348Calculator?

Out the numbers 584, 152, 208, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.