GCD of 146, 484, 400 Calculator

Given Input numbers are 146, 484, 400

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

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

GCD of numbers is the greatest common divisor

So, the GCD (146, 484, 400) = 2.

Given numbers are 146, 484, 400

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 484 are 2 x 2 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 146, 484, 400 is 2.

Given numbers are 146, 484, 400

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

Apply this formula for all numbers.

Step1:

LCM(146, 484) = 35332

GCD(146, 484) = ( 146 x 484 ) / 35332

= 146 / 484

= 146

Step2:

LCM(2, 400) = 400

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

= 2 / 400

= 2

So, Greatest Common Divisor of 146, 484, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 170, 782
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Given numbers are 146, 484, 400
The greatest common divisor of numbers 146, 484, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 484, 400 is 2.

1. What is the GCD of 146, 484, 400?

GCD of given numbers 146, 484, 400 is 2

2. How to calculate the greatest common divisor of 146, 484, 400?

We can find the highest common divisor of 146, 484, 400 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 146, 484, 400 i.e 2.

3. How can I use the GCD of 146, 484, 400Calculator?

Out the numbers 146, 484, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.