GCD of 136, 578, 348, 678 Calculator

Given Input numbers are 136, 578, 348, 678

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

Divisors of 136 :

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

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

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

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

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (136, 578, 348, 678) = 2.

Given numbers are 136, 578, 348, 678

The list of prime factors of all numbers are

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

Prime factors of 578 are 2 x 17 x 17

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

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 136, 578, 348, 678 is 2.

Given numbers are 136, 578, 348, 678

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

Apply this formula for all numbers.

Step1:

LCM(136, 578) = 2312

GCD(136, 578) = ( 136 x 578 ) / 2312

= 136 / 578

= 136

Step2:

LCM(34, 348) = 5916

GCD(34, 348) = ( 34 x 348 ) / 5916

= 34 / 348

= 34

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 136, 578, 348, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 989, 595, 277
• GCD of 242, 476, 110, 374
• GCD of 513, 636, 406, 713
• GCD of 169, 351, 531, 132
• GCD of 599, 797, 185, 235

Given numbers are 136, 578, 348, 678
The greatest common divisor of numbers 136, 578, 348, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 578, 348, 678 is 2.

1. What is the GCD of 136, 578, 348, 678?

GCD of given numbers 136, 578, 348, 678 is 2

2. How to calculate the greatest common divisor of 136, 578, 348, 678?

We can find the highest common divisor of 136, 578, 348, 678 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 136, 578, 348, 678 i.e 2.

3. How can I use the GCD of 136, 578, 348, 678Calculator?

Out the numbers 136, 578, 348, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.