GCD of 748, 828, 753, 893 Calculator

Given Input numbers are 748, 828, 753, 893

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

GCD of numbers is the greatest common divisor

So, the GCD (748, 828, 753, 893) = 1.

Given numbers are 748, 828, 753, 893

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 753 are 3 x 251

Prime factors of 893 are 19 x 47

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

Given numbers are 748, 828, 753, 893

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

Apply this formula for all numbers.

Step1:

LCM(748, 828) = 154836

GCD(748, 828) = ( 748 x 828 ) / 154836

= 748 / 828

= 748

Step2:

LCM(4, 753) = 3012

GCD(4, 753) = ( 4 x 753 ) / 3012

= 4 / 753

= 4

Step3:

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

= 1 / 893

= 1

So, Greatest Common Divisor of 748, 828, 753, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 116, 461, 848
• GCD of 676, 745, 268, 175
• GCD of 519, 594, 287, 975
• GCD of 299, 621, 964, 693
• GCD of 184, 582, 409, 428

Given numbers are 748, 828, 753, 893
The greatest common divisor of numbers 748, 828, 753, 893 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 828, 753, 893 is 1.

1. What is the GCD of 748, 828, 753, 893?

GCD of given numbers 748, 828, 753, 893 is 1

2. How to calculate the greatest common divisor of 748, 828, 753, 893?

We can find the highest common divisor of 748, 828, 753, 893 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, 828, 753, 893 i.e 1.

3. How can I use the GCD of 748, 828, 753, 893Calculator?

Out the numbers 748, 828, 753, 893 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.