GCD of 748, 671, 312, 824 Calculator

Given Input numbers are 748, 671, 312, 824

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 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (748, 671, 312, 824) = 1.

Given numbers are 748, 671, 312, 824

The list of prime factors of all numbers are

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

Prime factors of 671 are 11 x 61

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 748, 671, 312, 824

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

Apply this formula for all numbers.

Step1:

LCM(748, 671) = 45628

GCD(748, 671) = ( 748 x 671 ) / 45628

= 748 / 671

= 748

Step2:

LCM(11, 312) = 3432

GCD(11, 312) = ( 11 x 312 ) / 3432

= 11 / 312

= 11

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 748, 671, 312, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 484, 923, 972
• GCD of 248, 325, 672, 809
• GCD of 551, 174, 843, 409
• GCD of 136, 238, 494, 601
• GCD of 290, 909, 187, 982

Given numbers are 748, 671, 312, 824
The greatest common divisor of numbers 748, 671, 312, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 671, 312, 824 is 1.

1. What is the GCD of 748, 671, 312, 824?

GCD of given numbers 748, 671, 312, 824 is 1

2. How to calculate the greatest common divisor of 748, 671, 312, 824?

We can find the highest common divisor of 748, 671, 312, 824 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, 671, 312, 824 i.e 1.

3. How can I use the GCD of 748, 671, 312, 824Calculator?

Out the numbers 748, 671, 312, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.