GCD of 700, 221, 975 Calculator

Given Input numbers are 700, 221, 975

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 700, 221, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 221, 975 is 1.

Therefore, GCD of numbers 700, 221, 975 is 1

Given Input Data is 700, 221, 975

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 221 is 13 x 17

Prime Factorization of 975 is 3 x 5 x 5 x 13

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, 221) = 154700

GCD(700, 221) = ( 700 x 221 ) / 154700

GCD(700, 221) = 154700 / 154700

GCD(700, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 700, 221, 975 is 1

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• GCD of 669, 490, 228
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1. What is the GCD of 700, 221, 975?

GCD of 700, 221, 975 is 1

2. Where do I get the detailed procedure to find GCD of 700, 221, 975?

You can find a detailed procedure to find GCD of 700, 221, 975 on our page.

3. How to find GCD of 700, 221, 975 on a calculator?

You can find the GCD of 700, 221, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.