GCD of 975, 743, 842, 278 Calculator

Given Input numbers are 975, 743, 842, 278

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

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 975, 743, 842, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 743, 842, 278 is 1.

Therefore, GCD of numbers 975, 743, 842, 278 is 1

Given Input Data is 975, 743, 842, 278

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

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

Prime Factorization of 743 is 743

Prime Factorization of 842 is 2 x 421

Prime Factorization of 278 is 2 x 139

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(975, 743) = 724425

GCD(975, 743) = ( 975 x 743 ) / 724425

GCD(975, 743) = 724425 / 724425

GCD(975, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 975, 743, 842, 278 is 1

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1. What is the GCD of 975, 743, 842, 278?

GCD of 975, 743, 842, 278 is 1

2. Where do I get the detailed procedure to find GCD of 975, 743, 842, 278?

You can find a detailed procedure to find GCD of 975, 743, 842, 278 on our page.

3. How to find GCD of 975, 743, 842, 278 on a calculator?

You can find the GCD of 975, 743, 842, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.