GCD of 748, 328, 332, 502 Calculator

Given Input numbers are 748, 328, 332, 502

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 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (748, 328, 332, 502) = 2.

Given numbers are 748, 328, 332, 502

The list of prime factors of all numbers are

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

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 332 are 2 x 2 x 83

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 748, 328, 332, 502 is 2.

Given numbers are 748, 328, 332, 502

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

Apply this formula for all numbers.

Step1:

LCM(748, 328) = 61336

GCD(748, 328) = ( 748 x 328 ) / 61336

= 748 / 328

= 748

Step2:

LCM(4, 332) = 332

GCD(4, 332) = ( 4 x 332 ) / 332

= 4 / 332

= 4

Step3:

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

= 4 / 502

= 4

So, Greatest Common Divisor of 748, 328, 332, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 615, 477, 799
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Given numbers are 748, 328, 332, 502
The greatest common divisor of numbers 748, 328, 332, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 328, 332, 502 is 2.

1. What is the GCD of 748, 328, 332, 502?

GCD of given numbers 748, 328, 332, 502 is 2

2. How to calculate the greatest common divisor of 748, 328, 332, 502?

We can find the highest common divisor of 748, 328, 332, 502 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, 328, 332, 502 i.e 2.

3. How can I use the GCD of 748, 328, 332, 502Calculator?

Out the numbers 748, 328, 332, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.