GCD of 700, 915, 247, 428 Calculator

Given Input numbers are 700, 915, 247, 428

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 700, 915, 247, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 915, 247, 428 is 1.

Therefore, GCD of numbers 700, 915, 247, 428 is 1

Given Input Data is 700, 915, 247, 428

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 915 is 3 x 5 x 61

Prime Factorization of 247 is 13 x 19

Prime Factorization of 428 is 2 x 2 x 107

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, 915) = 128100

GCD(700, 915) = ( 700 x 915 ) / 128100

GCD(700, 915) = 640500 / 128100

GCD(700, 915) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 247

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

LCM(5, 247) = 1235

GCD(5, 247) = ( 5 x 247 ) / 1235

GCD(5, 247) = 1235 / 1235

GCD(5, 247) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 700, 915, 247, 428 is 1

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1. What is the GCD of 700, 915, 247, 428?

GCD of 700, 915, 247, 428 is 1

2. Where do I get the detailed procedure to find GCD of 700, 915, 247, 428?

You can find a detailed procedure to find GCD of 700, 915, 247, 428 on our page.

3. How to find GCD of 700, 915, 247, 428 on a calculator?

You can find the GCD of 700, 915, 247, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.