GCD of 404, 400, 374, 220 Calculator

Given Input numbers are 404, 400, 374, 220

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (404, 400, 374, 220) = 2.

Given numbers are 404, 400, 374, 220

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

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

Prime factors of 374 are 2 x 11 x 17

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 404, 400, 374, 220 is 2.

Given numbers are 404, 400, 374, 220

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

Apply this formula for all numbers.

Step1:

LCM(404, 400) = 40400

GCD(404, 400) = ( 404 x 400 ) / 40400

= 404 / 400

= 404

Step2:

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

= 4 / 374

= 4

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 404, 400, 374, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 504, 222, 146
• GCD of 347, 629, 412, 123
• GCD of 318, 923, 543, 872
• GCD of 299, 582, 719, 472
• GCD of 823, 936, 159, 435

Given numbers are 404, 400, 374, 220
The greatest common divisor of numbers 404, 400, 374, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 400, 374, 220 is 2.

1. What is the GCD of 404, 400, 374, 220?

GCD of given numbers 404, 400, 374, 220 is 2

2. How to calculate the greatest common divisor of 404, 400, 374, 220?

We can find the highest common divisor of 404, 400, 374, 220 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 404, 400, 374, 220 i.e 2.

3. How can I use the GCD of 404, 400, 374, 220Calculator?

Out the numbers 404, 400, 374, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.