GCD of 520, 488, 274, 838 Calculator

Given Input numbers are 520, 488, 274, 838

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

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 (520, 488, 274, 838) = 2.

Given numbers are 520, 488, 274, 838

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 274 are 2 x 137

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 520, 488, 274, 838 is 2.

Given numbers are 520, 488, 274, 838

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

Apply this formula for all numbers.

Step1:

LCM(520, 488) = 31720

GCD(520, 488) = ( 520 x 488 ) / 31720

= 520 / 488

= 520

Step2:

LCM(8, 274) = 1096

GCD(8, 274) = ( 8 x 274 ) / 1096

= 8 / 274

= 8

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 520, 488, 274, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 462, 765, 787
• GCD of 547, 546, 927, 258
• GCD of 839, 678, 231, 777
• GCD of 214, 774, 559, 783
• GCD of 986, 159, 578, 118

Given numbers are 520, 488, 274, 838
The greatest common divisor of numbers 520, 488, 274, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 488, 274, 838 is 2.

1. What is the GCD of 520, 488, 274, 838?

GCD of given numbers 520, 488, 274, 838 is 2

2. How to calculate the greatest common divisor of 520, 488, 274, 838?

We can find the highest common divisor of 520, 488, 274, 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 520, 488, 274, 838 i.e 2.

3. How can I use the GCD of 520, 488, 274, 838Calculator?

Out the numbers 520, 488, 274, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.