GCD of 748, 968, 822, 518 Calculator

Given Input numbers are 748, 968, 822, 518

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (748, 968, 822, 518) = 2.

Given numbers are 748, 968, 822, 518

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 822 are 2 x 3 x 137

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 748, 968, 822, 518 is 2.

Given numbers are 748, 968, 822, 518

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, 822) = 18084

GCD(44, 822) = ( 44 x 822 ) / 18084

= 44 / 822

= 44

Step3:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

So, Greatest Common Divisor of 748, 968, 822, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 508, 524, 583
• GCD of 967, 105, 812, 835
• GCD of 923, 345, 417, 123
• GCD of 982, 637, 399, 275
• GCD of 834, 329, 732, 508

Given numbers are 748, 968, 822, 518
The greatest common divisor of numbers 748, 968, 822, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 968, 822, 518 is 2.

1. What is the GCD of 748, 968, 822, 518?

GCD of given numbers 748, 968, 822, 518 is 2

2. How to calculate the greatest common divisor of 748, 968, 822, 518?

We can find the highest common divisor of 748, 968, 822, 518 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, 822, 518 i.e 2.

3. How can I use the GCD of 748, 968, 822, 518Calculator?

Out the numbers 748, 968, 822, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.