GCD of 720, 952, 10, 270 Calculator

Given Input numbers are 720, 952, 10, 270

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 720, 952, 10, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 952, 10, 270 is 2.

Therefore, GCD of numbers 720, 952, 10, 270 is 2

Given Input Data is 720, 952, 10, 270

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 10 is 2 x 5

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

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(720, 952) = 85680

GCD(720, 952) = ( 720 x 952 ) / 85680

GCD(720, 952) = 685440 / 85680

GCD(720, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 10

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

LCM(8, 10) = 40

GCD(8, 10) = ( 8 x 10 ) / 40

GCD(8, 10) = 80 / 40

GCD(8, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 720, 952, 10, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 126, 45, 985
• GCD of 732, 425, 24, 414
• GCD of 933, 195, 44, 257
• GCD of 540, 654, 52, 361
• GCD of 486, 972, 38, 676

1. What is the GCD of 720, 952, 10, 270?

GCD of 720, 952, 10, 270 is 2

2. Where do I get the detailed procedure to find GCD of 720, 952, 10, 270?

You can find a detailed procedure to find GCD of 720, 952, 10, 270 on our page.

3. How to find GCD of 720, 952, 10, 270 on a calculator?

You can find the GCD of 720, 952, 10, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.