GCD of 103, 750, 410, 142 Calculator

Given Input numbers are 103, 750, 410, 142

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 103, 750, 410, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 750, 410, 142 is 1.

Therefore, GCD of numbers 103, 750, 410, 142 is 1

Given Input Data is 103, 750, 410, 142

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

Prime Factorization of 103 is 103

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 142 is 2 x 71

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(103, 750) = 77250

GCD(103, 750) = ( 103 x 750 ) / 77250

GCD(103, 750) = 77250 / 77250

GCD(103, 750) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 103, 750, 410, 142 is 1

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1. What is the GCD of 103, 750, 410, 142?

GCD of 103, 750, 410, 142 is 1

2. Where do I get the detailed procedure to find GCD of 103, 750, 410, 142?

You can find a detailed procedure to find GCD of 103, 750, 410, 142 on our page.

3. How to find GCD of 103, 750, 410, 142 on a calculator?

You can find the GCD of 103, 750, 410, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.