GCD of 748, 532, 318, 400 Calculator

Given Input numbers are 748, 532, 318, 400

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

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 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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 (748, 532, 318, 400) = 2.

Given numbers are 748, 532, 318, 400

The list of prime factors of all numbers are

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

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 318 are 2 x 3 x 53

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 748, 532, 318, 400 is 2.

Given numbers are 748, 532, 318, 400

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

Apply this formula for all numbers.

Step1:

LCM(748, 532) = 99484

GCD(748, 532) = ( 748 x 532 ) / 99484

= 748 / 532

= 748

Step2:

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

= 4 / 318

= 4

Step3:

LCM(2, 400) = 400

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

= 2 / 400

= 2

So, Greatest Common Divisor of 748, 532, 318, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 337, 347, 896
• GCD of 550, 938, 220, 446
• GCD of 768, 675, 124, 322
• GCD of 558, 193, 351, 340
• GCD of 451, 406, 419, 488

Given numbers are 748, 532, 318, 400
The greatest common divisor of numbers 748, 532, 318, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 532, 318, 400 is 2.

1. What is the GCD of 748, 532, 318, 400?

GCD of given numbers 748, 532, 318, 400 is 2

2. How to calculate the greatest common divisor of 748, 532, 318, 400?

We can find the highest common divisor of 748, 532, 318, 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 748, 532, 318, 400 i.e 2.

3. How can I use the GCD of 748, 532, 318, 400Calculator?

Out the numbers 748, 532, 318, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.