GCD of 468, 338, 530, 754 Calculator

Given Input numbers are 468, 338, 530, 754

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 530 :

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

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

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

GCD of numbers is the greatest common divisor

So, the GCD (468, 338, 530, 754) = 2.

Given numbers are 468, 338, 530, 754

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 530 are 2 x 5 x 53

Prime factors of 754 are 2 x 13 x 29

The highest common occurrence is 2¹

Therefore, GCD of 468, 338, 530, 754 is 2.

Given numbers are 468, 338, 530, 754

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

Apply this formula for all numbers.

Step1:

LCM(468, 338) = 6084

GCD(468, 338) = ( 468 x 338 ) / 6084

= 468 / 338

= 468

Step2:

LCM(26, 530) = 6890

GCD(26, 530) = ( 26 x 530 ) / 6890

= 26 / 530

= 26

Step3:

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

= 2 / 754

= 2

So, Greatest Common Divisor of 468, 338, 530, 754 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 100, 398, 344
• GCD of 328, 524, 674, 145
• GCD of 822, 556, 308, 878
• GCD of 795, 173, 695, 636
• GCD of 640, 720, 943, 140

Given numbers are 468, 338, 530, 754
The greatest common divisor of numbers 468, 338, 530, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 338, 530, 754 is 2.

1. What is the GCD of 468, 338, 530, 754?

GCD of given numbers 468, 338, 530, 754 is 2

2. How to calculate the greatest common divisor of 468, 338, 530, 754?

We can find the highest common divisor of 468, 338, 530, 754 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 468, 338, 530, 754 i.e 2.

3. How can I use the GCD of 468, 338, 530, 754Calculator?

Out the numbers 468, 338, 530, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.