GCD of 711, 760, 448, 144 Calculator

Given Input numbers are 711, 760, 448, 144

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 711, 760, 448, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 760, 448, 144 is 1.

Therefore, GCD of numbers 711, 760, 448, 144 is 1

Given Input Data is 711, 760, 448, 144

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(711, 760) = 540360

GCD(711, 760) = ( 711 x 760 ) / 540360

GCD(711, 760) = 540360 / 540360

GCD(711, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 711, 760, 448, 144 is 1

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1. What is the GCD of 711, 760, 448, 144?

GCD of 711, 760, 448, 144 is 1

2. Where do I get the detailed procedure to find GCD of 711, 760, 448, 144?

You can find a detailed procedure to find GCD of 711, 760, 448, 144 on our page.

3. How to find GCD of 711, 760, 448, 144 on a calculator?

You can find the GCD of 711, 760, 448, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.