GCD of 96, 261, 615, 147 Calculator

Given Input numbers are 96, 261, 615, 147

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 96, 261, 615, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 261, 615, 147 is 3.

Therefore, GCD of numbers 96, 261, 615, 147 is 3

Given Input Data is 96, 261, 615, 147

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 147 is 3 x 7 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(96, 261) = 8352

GCD(96, 261) = ( 96 x 261 ) / 8352

GCD(96, 261) = 25056 / 8352

GCD(96, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 615

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

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

GCD(3, 615) = 1845 / 615

GCD(3, 615) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 147

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

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

GCD(3, 147) = 441 / 147

GCD(3, 147) = 3

GCD of 96, 261, 615, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 602, 313, 302
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• GCD of 63, 608, 999, 955
• GCD of 56, 972, 825, 172
• GCD of 54, 784, 762, 670

1. What is the GCD of 96, 261, 615, 147?

GCD of 96, 261, 615, 147 is 3

2. Where do I get the detailed procedure to find GCD of 96, 261, 615, 147?

You can find a detailed procedure to find GCD of 96, 261, 615, 147 on our page.

3. How to find GCD of 96, 261, 615, 147 on a calculator?

You can find the GCD of 96, 261, 615, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.