GCD of 700, 177, 360, 448 Calculator

Given Input numbers are 700, 177, 360, 448

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

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

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

Greatest Common Divisior

We found the divisors of 700, 177, 360, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 177, 360, 448 is 1.

Therefore, GCD of numbers 700, 177, 360, 448 is 1

Given Input Data is 700, 177, 360, 448

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 177 is 3 x 59

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

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(700, 177) = 123900

GCD(700, 177) = ( 700 x 177 ) / 123900

GCD(700, 177) = 123900 / 123900

GCD(700, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

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

GCD of 700, 177, 360, 448 is 1

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1. What is the GCD of 700, 177, 360, 448?

GCD of 700, 177, 360, 448 is 1

2. Where do I get the detailed procedure to find GCD of 700, 177, 360, 448?

You can find a detailed procedure to find GCD of 700, 177, 360, 448 on our page.

3. How to find GCD of 700, 177, 360, 448 on a calculator?

You can find the GCD of 700, 177, 360, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.