GCD of 985, 421, 71, 914 Calculator

Given Input numbers are 985, 421, 71, 914

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 71

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

1, 71

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 985, 421, 71, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 421, 71, 914 is 1.

Therefore, GCD of numbers 985, 421, 71, 914 is 1

Given Input Data is 985, 421, 71, 914

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 421 is 421

Prime Factorization of 71 is 71

Prime Factorization of 914 is 2 x 457

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(985, 421) = 414685

GCD(985, 421) = ( 985 x 421 ) / 414685

GCD(985, 421) = 414685 / 414685

GCD(985, 421) = 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 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 985, 421, 71, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 970, 64, 397
• GCD of 212, 462, 28, 827
• GCD of 269, 724, 27, 993
• GCD of 619, 118, 11, 988
• GCD of 152, 473, 66, 780

1. What is the GCD of 985, 421, 71, 914?

GCD of 985, 421, 71, 914 is 1

2. Where do I get the detailed procedure to find GCD of 985, 421, 71, 914?

You can find a detailed procedure to find GCD of 985, 421, 71, 914 on our page.

3. How to find GCD of 985, 421, 71, 914 on a calculator?

You can find the GCD of 985, 421, 71, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.