GCD of 136, 220, 514, 230 Calculator

Given Input numbers are 136, 220, 514, 230

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (136, 220, 514, 230) = 2.

Given numbers are 136, 220, 514, 230

The list of prime factors of all numbers are

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

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 514 are 2 x 257

Prime factors of 230 are 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 136, 220, 514, 230 is 2.

Given numbers are 136, 220, 514, 230

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

Apply this formula for all numbers.

Step1:

LCM(136, 220) = 7480

GCD(136, 220) = ( 136 x 220 ) / 7480

= 136 / 220

= 136

Step2:

LCM(4, 514) = 1028

GCD(4, 514) = ( 4 x 514 ) / 1028

= 4 / 514

= 4

Step3:

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

= 2 / 230

= 2

So, Greatest Common Divisor of 136, 220, 514, 230 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 124, 532, 498
• GCD of 426, 536, 671, 505
• GCD of 377, 344, 826, 865
• GCD of 971, 217, 491, 570
• GCD of 301, 921, 825, 787

Given numbers are 136, 220, 514, 230
The greatest common divisor of numbers 136, 220, 514, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 220, 514, 230 is 2.

1. What is the GCD of 136, 220, 514, 230?

GCD of given numbers 136, 220, 514, 230 is 2

2. How to calculate the greatest common divisor of 136, 220, 514, 230?

We can find the highest common divisor of 136, 220, 514, 230 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, 220, 514, 230 i.e 2.

3. How can I use the GCD of 136, 220, 514, 230Calculator?

Out the numbers 136, 220, 514, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.