GCD of 456, 238, 400, 130 Calculator

Given Input numbers are 456, 238, 400, 130

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (456, 238, 400, 130) = 2.

Given numbers are 456, 238, 400, 130

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 238 are 2 x 7 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 456, 238, 400, 130 is 2.

Given numbers are 456, 238, 400, 130

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

Apply this formula for all numbers.

Step1:

LCM(456, 238) = 54264

GCD(456, 238) = ( 456 x 238 ) / 54264

= 456 / 238

= 456

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 456, 238, 400, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 287, 387, 692
• GCD of 249, 309, 965, 960
• GCD of 167, 958, 617, 349
• GCD of 677, 229, 383, 413
• GCD of 678, 591, 609, 217

Given numbers are 456, 238, 400, 130
The greatest common divisor of numbers 456, 238, 400, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 238, 400, 130 is 2.

1. What is the GCD of 456, 238, 400, 130?

GCD of given numbers 456, 238, 400, 130 is 2

2. How to calculate the greatest common divisor of 456, 238, 400, 130?

We can find the highest common divisor of 456, 238, 400, 130 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, 238, 400, 130 i.e 2.

3. How can I use the GCD of 456, 238, 400, 130Calculator?

Out the numbers 456, 238, 400, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.