GCD of 971, 175, 698, 985 Calculator

Given Input numbers are 971, 175, 698, 985

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 985

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

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 971, 175, 698, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 175, 698, 985 is 1.

Therefore, GCD of numbers 971, 175, 698, 985 is 1

Given Input Data is 971, 175, 698, 985

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

Prime Factorization of 971 is 971

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 698 is 2 x 349

Prime Factorization of 985 is 5 x 197

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(971, 175) = 169925

GCD(971, 175) = ( 971 x 175 ) / 169925

GCD(971, 175) = 169925 / 169925

GCD(971, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 971, 175, 698, 985 is 1

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1. What is the GCD of 971, 175, 698, 985?

GCD of 971, 175, 698, 985 is 1

2. Where do I get the detailed procedure to find GCD of 971, 175, 698, 985?

You can find a detailed procedure to find GCD of 971, 175, 698, 985 on our page.

3. How to find GCD of 971, 175, 698, 985 on a calculator?

You can find the GCD of 971, 175, 698, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.