GCD of 584, 398, 136, 414 Calculator

Given Input numbers are 584, 398, 136, 414

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 136 :

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

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (584, 398, 136, 414) = 2.

Given numbers are 584, 398, 136, 414

The list of prime factors of all numbers are

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

Prime factors of 398 are 2 x 199

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

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 584, 398, 136, 414 is 2.

Given numbers are 584, 398, 136, 414

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

Apply this formula for all numbers.

Step1:

LCM(584, 398) = 116216

GCD(584, 398) = ( 584 x 398 ) / 116216

= 584 / 398

= 584

Step2:

LCM(2, 136) = 136

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

= 2 / 136

= 2

Step3:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

So, Greatest Common Divisor of 584, 398, 136, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 991, 295, 429
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Given numbers are 584, 398, 136, 414
The greatest common divisor of numbers 584, 398, 136, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 398, 136, 414 is 2.

1. What is the GCD of 584, 398, 136, 414?

GCD of given numbers 584, 398, 136, 414 is 2

2. How to calculate the greatest common divisor of 584, 398, 136, 414?

We can find the highest common divisor of 584, 398, 136, 414 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, 398, 136, 414 i.e 2.

3. How can I use the GCD of 584, 398, 136, 414Calculator?

Out the numbers 584, 398, 136, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.