GCD of 136, 416, 308, 610 Calculator

Given Input numbers are 136, 416, 308, 610

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 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

GCD of numbers is the greatest common divisor

So, the GCD (136, 416, 308, 610) = 2.

Given numbers are 136, 416, 308, 610

The list of prime factors of all numbers are

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

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

Prime factors of 610 are 2 x 5 x 61

The highest common occurrence is 2¹

Therefore, GCD of 136, 416, 308, 610 is 2.

Given numbers are 136, 416, 308, 610

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

Apply this formula for all numbers.

Step1:

LCM(136, 416) = 7072

GCD(136, 416) = ( 136 x 416 ) / 7072

= 136 / 416

= 136

Step2:

LCM(8, 308) = 616

GCD(8, 308) = ( 8 x 308 ) / 616

= 8 / 308

= 8

Step3:

LCM(4, 610) = 1220

GCD(4, 610) = ( 4 x 610 ) / 1220

= 4 / 610

= 4

So, Greatest Common Divisor of 136, 416, 308, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 994, 336, 269
• GCD of 786, 454, 498, 832
• GCD of 624, 911, 139, 610
• GCD of 932, 612, 665, 777
• GCD of 655, 980, 253, 980

Given numbers are 136, 416, 308, 610
The greatest common divisor of numbers 136, 416, 308, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 416, 308, 610 is 2.

1. What is the GCD of 136, 416, 308, 610?

GCD of given numbers 136, 416, 308, 610 is 2

2. How to calculate the greatest common divisor of 136, 416, 308, 610?

We can find the highest common divisor of 136, 416, 308, 610 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, 416, 308, 610 i.e 2.

3. How can I use the GCD of 136, 416, 308, 610Calculator?

Out the numbers 136, 416, 308, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.