GCD of 748, 231, 928, 984 Calculator

Given Input numbers are 748, 231, 928, 984

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 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (748, 231, 928, 984) = 1.

Given numbers are 748, 231, 928, 984

The list of prime factors of all numbers are

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

Prime factors of 231 are 3 x 7 x 11

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 748, 231, 928, 984

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

Apply this formula for all numbers.

Step1:

LCM(748, 231) = 15708

GCD(748, 231) = ( 748 x 231 ) / 15708

= 748 / 231

= 748

Step2:

LCM(11, 928) = 10208

GCD(11, 928) = ( 11 x 928 ) / 10208

= 11 / 928

= 11

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 748, 231, 928, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 997, 871, 973
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Given numbers are 748, 231, 928, 984
The greatest common divisor of numbers 748, 231, 928, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 231, 928, 984 is 1.

1. What is the GCD of 748, 231, 928, 984?

GCD of given numbers 748, 231, 928, 984 is 1

2. How to calculate the greatest common divisor of 748, 231, 928, 984?

We can find the highest common divisor of 748, 231, 928, 984 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, 231, 928, 984 i.e 1.

3. How can I use the GCD of 748, 231, 928, 984Calculator?

Out the numbers 748, 231, 928, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.