GCD of 270, 764, 96, 610 Calculator

Given Input numbers are 270, 764, 96, 610

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

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 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 270, 764, 96, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 764, 96, 610 is 2.

Therefore, GCD of numbers 270, 764, 96, 610 is 2

Given Input Data is 270, 764, 96, 610

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 764 is 2 x 2 x 191

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

Prime Factorization of 610 is 2 x 5 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(270, 764) = 103140

GCD(270, 764) = ( 270 x 764 ) / 103140

GCD(270, 764) = 206280 / 103140

GCD(270, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 270, 764, 96, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 981, 57, 870
• GCD of 995, 955, 35, 760
• GCD of 378, 620, 41, 101
• GCD of 848, 242, 69, 624
• GCD of 131, 449, 61, 405

1. What is the GCD of 270, 764, 96, 610?

GCD of 270, 764, 96, 610 is 2

2. Where do I get the detailed procedure to find GCD of 270, 764, 96, 610?

You can find a detailed procedure to find GCD of 270, 764, 96, 610 on our page.

3. How to find GCD of 270, 764, 96, 610 on a calculator?

You can find the GCD of 270, 764, 96, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.