GCD of 172, 707, 71, 862 Calculator

Given Input numbers are 172, 707, 71, 862

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 172, 707, 71, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 707, 71, 862 is 1.

Therefore, GCD of numbers 172, 707, 71, 862 is 1

Given Input Data is 172, 707, 71, 862

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 707 is 7 x 101

Prime Factorization of 71 is 71

Prime Factorization of 862 is 2 x 431

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(172, 707) = 121604

GCD(172, 707) = ( 172 x 707 ) / 121604

GCD(172, 707) = 121604 / 121604

GCD(172, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 172, 707, 71, 862 is 1

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1. What is the GCD of 172, 707, 71, 862?

GCD of 172, 707, 71, 862 is 1

2. Where do I get the detailed procedure to find GCD of 172, 707, 71, 862?

You can find a detailed procedure to find GCD of 172, 707, 71, 862 on our page.

3. How to find GCD of 172, 707, 71, 862 on a calculator?

You can find the GCD of 172, 707, 71, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.