GCD of 240, 248, 528, 524 Calculator

Given Input numbers are 240, 248, 528, 524

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (240, 248, 528, 524) = 4.

Given numbers are 240, 248, 528, 524

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2²

Therefore, GCD of 240, 248, 528, 524 is 4.

Given numbers are 240, 248, 528, 524

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

Apply this formula for all numbers.

Step1:

LCM(240, 248) = 7440

GCD(240, 248) = ( 240 x 248 ) / 7440

= 240 / 248

= 240

Step2:

LCM(8, 528) = 528

GCD(8, 528) = ( 8 x 528 ) / 528

= 8 / 528

= 8

Step3:

LCM(8, 524) = 1048

GCD(8, 524) = ( 8 x 524 ) / 1048

= 8 / 524

= 8

So, Greatest Common Divisor of 240, 248, 528, 524 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 363, 718, 686
• GCD of 954, 732, 466, 762
• GCD of 195, 457, 437, 982
• GCD of 653, 831, 916, 502
• GCD of 617, 596, 689, 780

Given numbers are 240, 248, 528, 524
The greatest common divisor of numbers 240, 248, 528, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 248, 528, 524 is 4.

1. What is the GCD of 240, 248, 528, 524?

GCD of given numbers 240, 248, 528, 524 is 4

2. How to calculate the greatest common divisor of 240, 248, 528, 524?

We can find the highest common divisor of 240, 248, 528, 524 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 240, 248, 528, 524 i.e 4.

3. How can I use the GCD of 240, 248, 528, 524Calculator?

Out the numbers 240, 248, 528, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.