GCD of 456, 688, 122, 338 Calculator

Given Input numbers are 456, 688, 122, 338

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 122 :

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

1, 2, 61, 122

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (456, 688, 122, 338) = 2.

Given numbers are 456, 688, 122, 338

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 122 are 2 x 61

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 456, 688, 122, 338 is 2.

Given numbers are 456, 688, 122, 338

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

Apply this formula for all numbers.

Step1:

LCM(456, 688) = 39216

GCD(456, 688) = ( 456 x 688 ) / 39216

= 456 / 688

= 456

Step2:

LCM(8, 122) = 488

GCD(8, 122) = ( 8 x 122 ) / 488

= 8 / 122

= 8

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 456, 688, 122, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 471, 707, 489
• GCD of 361, 706, 277, 512
• GCD of 684, 230, 857, 952
• GCD of 902, 378, 345, 181
• GCD of 117, 174, 641, 856

Given numbers are 456, 688, 122, 338
The greatest common divisor of numbers 456, 688, 122, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 688, 122, 338 is 2.

1. What is the GCD of 456, 688, 122, 338?

GCD of given numbers 456, 688, 122, 338 is 2

2. How to calculate the greatest common divisor of 456, 688, 122, 338?

We can find the highest common divisor of 456, 688, 122, 338 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 456, 688, 122, 338 i.e 2.

3. How can I use the GCD of 456, 688, 122, 338Calculator?

Out the numbers 456, 688, 122, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.