GCD of 404, 536, 748, 408 Calculator

Given Input numbers are 404, 536, 748, 408

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 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (404, 536, 748, 408) = 4.

Given numbers are 404, 536, 748, 408

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2²

Therefore, GCD of 404, 536, 748, 408 is 4.

Given numbers are 404, 536, 748, 408

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

Apply this formula for all numbers.

Step1:

LCM(404, 536) = 54136

GCD(404, 536) = ( 404 x 536 ) / 54136

= 404 / 536

= 404

Step2:

LCM(4, 748) = 748

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

= 4 / 748

= 4

Step3:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4

So, Greatest Common Divisor of 404, 536, 748, 408 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 108, 824, 292
• GCD of 358, 520, 452, 605
• GCD of 735, 298, 644, 674
• GCD of 620, 570, 972, 786
• GCD of 104, 464, 776, 165

Given numbers are 404, 536, 748, 408
The greatest common divisor of numbers 404, 536, 748, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 536, 748, 408 is 4.

1. What is the GCD of 404, 536, 748, 408?

GCD of given numbers 404, 536, 748, 408 is 4

2. How to calculate the greatest common divisor of 404, 536, 748, 408?

We can find the highest common divisor of 404, 536, 748, 408 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, 536, 748, 408 i.e 4.

3. How can I use the GCD of 404, 536, 748, 408Calculator?

Out the numbers 404, 536, 748, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.