GCD of 105, 231, 48, 507 Calculator

Given Input numbers are 105, 231, 48, 507

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (105, 231, 48, 507) = 3.

Given numbers are 105, 231, 48, 507

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 231 are 3 x 7 x 11

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 105, 231, 48, 507 is 3.

Given numbers are 105, 231, 48, 507

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

Apply this formula for all numbers.

Step1:

LCM(105, 231) = 1155

GCD(105, 231) = ( 105 x 231 ) / 1155

= 105 / 231

= 105

Step2:

LCM(21, 48) = 336

GCD(21, 48) = ( 21 x 48 ) / 336

= 21 / 48

= 21

Step3:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

So, Greatest Common Divisor of 105, 231, 48, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 625, 54, 636
• GCD of 304, 419, 49, 751
• GCD of 728, 103, 93, 364
• GCD of 669, 152, 29, 985
• GCD of 926, 658, 17, 396

Given numbers are 105, 231, 48, 507
The greatest common divisor of numbers 105, 231, 48, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 231, 48, 507 is 3.

1. What is the GCD of 105, 231, 48, 507?

GCD of given numbers 105, 231, 48, 507 is 3

2. How to calculate the greatest common divisor of 105, 231, 48, 507?

We can find the highest common divisor of 105, 231, 48, 507 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 105, 231, 48, 507 i.e 3.

3. How can I use the GCD of 105, 231, 48, 507Calculator?

Out the numbers 105, 231, 48, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.