GCD of 748, 968, 585, 838 Calculator

Given Input numbers are 748, 968, 585, 838

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (748, 968, 585, 838) = 1.

Given numbers are 748, 968, 585, 838

The list of prime factors of all numbers are

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

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 838 are 2 x 419

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

Given numbers are 748, 968, 585, 838

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

Apply this formula for all numbers.

Step1:

LCM(748, 968) = 16456

GCD(748, 968) = ( 748 x 968 ) / 16456

= 748 / 968

= 748

Step2:

LCM(44, 585) = 25740

GCD(44, 585) = ( 44 x 585 ) / 25740

= 44 / 585

= 44

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 748, 968, 585, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 891, 551, 581
• GCD of 282, 726, 105, 955
• GCD of 365, 229, 819, 457
• GCD of 519, 406, 547, 331
• GCD of 654, 256, 600, 743

Given numbers are 748, 968, 585, 838
The greatest common divisor of numbers 748, 968, 585, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 968, 585, 838 is 1.

1. What is the GCD of 748, 968, 585, 838?

GCD of given numbers 748, 968, 585, 838 is 1

2. How to calculate the greatest common divisor of 748, 968, 585, 838?

We can find the highest common divisor of 748, 968, 585, 838 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, 968, 585, 838 i.e 1.

3. How can I use the GCD of 748, 968, 585, 838Calculator?

Out the numbers 748, 968, 585, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.