GCD of 380, 530, 492, 400 Calculator

Given Input numbers are 380, 530, 492, 400

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 (380, 530, 492, 400) = 2.

Given numbers are 380, 530, 492, 400

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 530 are 2 x 5 x 53

Prime factors of 492 are 2 x 2 x 3 x 41

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 380, 530, 492, 400 is 2.

Given numbers are 380, 530, 492, 400

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

Apply this formula for all numbers.

Step1:

LCM(380, 530) = 20140

GCD(380, 530) = ( 380 x 530 ) / 20140

= 380 / 530

= 380

Step2:

LCM(10, 492) = 2460

GCD(10, 492) = ( 10 x 492 ) / 2460

= 10 / 492

= 10

Step3:

LCM(2, 400) = 400

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

= 2 / 400

= 2

So, Greatest Common Divisor of 380, 530, 492, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 935, 630, 949
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• GCD of 523, 915, 652, 724
• GCD of 962, 959, 251, 246

Given numbers are 380, 530, 492, 400
The greatest common divisor of numbers 380, 530, 492, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 530, 492, 400 is 2.

1. What is the GCD of 380, 530, 492, 400?

GCD of given numbers 380, 530, 492, 400 is 2

2. How to calculate the greatest common divisor of 380, 530, 492, 400?

We can find the highest common divisor of 380, 530, 492, 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 380, 530, 492, 400 i.e 2.

3. How can I use the GCD of 380, 530, 492, 400Calculator?

Out the numbers 380, 530, 492, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.