GCD of 448, 924, 135, 701 Calculator

Given Input numbers are 448, 924, 135, 701

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

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 448, 924, 135, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 924, 135, 701 is 1.

Therefore, GCD of numbers 448, 924, 135, 701 is 1

Given Input Data is 448, 924, 135, 701

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

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 701 is 701

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(448, 924) = 14784

GCD(448, 924) = ( 448 x 924 ) / 14784

GCD(448, 924) = 413952 / 14784

GCD(448, 924) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 135

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

LCM(28, 135) = 3780

GCD(28, 135) = ( 28 x 135 ) / 3780

GCD(28, 135) = 3780 / 3780

GCD(28, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 448, 924, 135, 701 is 1

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1. What is the GCD of 448, 924, 135, 701?

GCD of 448, 924, 135, 701 is 1

2. Where do I get the detailed procedure to find GCD of 448, 924, 135, 701?

You can find a detailed procedure to find GCD of 448, 924, 135, 701 on our page.

3. How to find GCD of 448, 924, 135, 701 on a calculator?

You can find the GCD of 448, 924, 135, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.