GCD of 308, 136, 234, 782 Calculator

Given Input numbers are 308, 136, 234, 782

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 136 :

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

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (308, 136, 234, 782) = 2.

Given numbers are 308, 136, 234, 782

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 308, 136, 234, 782 is 2.

Given numbers are 308, 136, 234, 782

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

Apply this formula for all numbers.

Step1:

LCM(308, 136) = 10472

GCD(308, 136) = ( 308 x 136 ) / 10472

= 308 / 136

= 308

Step2:

LCM(4, 234) = 468

GCD(4, 234) = ( 4 x 234 ) / 468

= 4 / 234

= 4

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 308, 136, 234, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 142, 107, 471
• GCD of 650, 790, 334, 582
• GCD of 351, 568, 991, 157
• GCD of 869, 565, 648, 204
• GCD of 246, 439, 600, 990

Given numbers are 308, 136, 234, 782
The greatest common divisor of numbers 308, 136, 234, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 136, 234, 782 is 2.

1. What is the GCD of 308, 136, 234, 782?

GCD of given numbers 308, 136, 234, 782 is 2

2. How to calculate the greatest common divisor of 308, 136, 234, 782?

We can find the highest common divisor of 308, 136, 234, 782 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 308, 136, 234, 782 i.e 2.

3. How can I use the GCD of 308, 136, 234, 782Calculator?

Out the numbers 308, 136, 234, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.