GCD of 122, 414, 360, 136 Calculator

Given Input numbers are 122, 414, 360, 136

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 136 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (122, 414, 360, 136) = 2.

Given numbers are 122, 414, 360, 136

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 122, 414, 360, 136 is 2.

Given numbers are 122, 414, 360, 136

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

Apply this formula for all numbers.

Step1:

LCM(122, 414) = 25254

GCD(122, 414) = ( 122 x 414 ) / 25254

= 122 / 414

= 122

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 136) = 136

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

= 2 / 136

= 2

So, Greatest Common Divisor of 122, 414, 360, 136 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 394, 698, 566
• GCD of 248, 164, 968, 870
• GCD of 979, 793, 435, 447
• GCD of 440, 287, 958, 394
• GCD of 103, 748, 607, 931

Given numbers are 122, 414, 360, 136
The greatest common divisor of numbers 122, 414, 360, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 414, 360, 136 is 2.

1. What is the GCD of 122, 414, 360, 136?

GCD of given numbers 122, 414, 360, 136 is 2

2. How to calculate the greatest common divisor of 122, 414, 360, 136?

We can find the highest common divisor of 122, 414, 360, 136 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 122, 414, 360, 136 i.e 2.

3. How can I use the GCD of 122, 414, 360, 136Calculator?

Out the numbers 122, 414, 360, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.