GCD of 828, 148, 968, 530 Calculator

Given Input numbers are 828, 148, 968, 530

In the factoring method, we have to find the divisors of all numbers

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

GCD of numbers is the greatest common divisor

So, the GCD (828, 148, 968, 530) = 2.

Given numbers are 828, 148, 968, 530

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

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

Prime factors of 530 are 2 x 5 x 53

The highest common occurrence is 2¹

Therefore, GCD of 828, 148, 968, 530 is 2.

Given numbers are 828, 148, 968, 530

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

Apply this formula for all numbers.

Step1:

LCM(828, 148) = 30636

GCD(828, 148) = ( 828 x 148 ) / 30636

= 828 / 148

= 828

Step2:

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

= 4 / 968

= 4

Step3:

LCM(4, 530) = 1060

GCD(4, 530) = ( 4 x 530 ) / 1060

= 4 / 530

= 4

So, Greatest Common Divisor of 828, 148, 968, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 235, 893, 795
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• GCD of 601, 360, 867, 616

Given numbers are 828, 148, 968, 530
The greatest common divisor of numbers 828, 148, 968, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 148, 968, 530 is 2.

1. What is the GCD of 828, 148, 968, 530?

GCD of given numbers 828, 148, 968, 530 is 2

2. How to calculate the greatest common divisor of 828, 148, 968, 530?

We can find the highest common divisor of 828, 148, 968, 530 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 828, 148, 968, 530 i.e 2.

3. How can I use the GCD of 828, 148, 968, 530Calculator?

Out the numbers 828, 148, 968, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.