GCD of 462, 528, 615, 148 Calculator

Given Input numbers are 462, 528, 615, 148

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

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

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 462, 528, 615, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 528, 615, 148 is 1.

Therefore, GCD of numbers 462, 528, 615, 148 is 1

Given Input Data is 462, 528, 615, 148

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 148 is 2 x 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(462, 528) = 3696

GCD(462, 528) = ( 462 x 528 ) / 3696

GCD(462, 528) = 243936 / 3696

GCD(462, 528) = 66

Step2:

Here we consider the GCD from the above i.e. 66 as first number and the next as 615

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

LCM(66, 615) = 13530

GCD(66, 615) = ( 66 x 615 ) / 13530

GCD(66, 615) = 40590 / 13530

GCD(66, 615) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 148

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

LCM(3, 148) = 444

GCD(3, 148) = ( 3 x 148 ) / 444

GCD(3, 148) = 444 / 444

GCD(3, 148) = 1

GCD of 462, 528, 615, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 326, 343, 190
• GCD of 341, 894, 841, 674
• GCD of 170, 497, 731, 930
• GCD of 305, 407, 602, 676
• GCD of 690, 599, 540, 200

1. What is the GCD of 462, 528, 615, 148?

GCD of 462, 528, 615, 148 is 1

2. Where do I get the detailed procedure to find GCD of 462, 528, 615, 148?

You can find a detailed procedure to find GCD of 462, 528, 615, 148 on our page.

3. How to find GCD of 462, 528, 615, 148 on a calculator?

You can find the GCD of 462, 528, 615, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.