GCD of 971, 487, 698, 635 Calculator

Given Input numbers are 971, 487, 698, 635

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 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 698

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

1, 2, 349, 698

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 971, 487, 698, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 487, 698, 635 is 1.

Therefore, GCD of numbers 971, 487, 698, 635 is 1

Given Input Data is 971, 487, 698, 635

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

Prime Factorization of 971 is 971

Prime Factorization of 487 is 487

Prime Factorization of 698 is 2 x 349

Prime Factorization of 635 is 5 x 127

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, 487) = 472877

GCD(971, 487) = ( 971 x 487 ) / 472877

GCD(971, 487) = 472877 / 472877

GCD(971, 487) = 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 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 971, 487, 698, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 537, 468, 247
• GCD of 442, 847, 278, 589
• GCD of 952, 814, 564, 225
• GCD of 569, 851, 155, 499
• GCD of 516, 197, 787, 853

1. What is the GCD of 971, 487, 698, 635?

GCD of 971, 487, 698, 635 is 1

2. Where do I get the detailed procedure to find GCD of 971, 487, 698, 635?

You can find a detailed procedure to find GCD of 971, 487, 698, 635 on our page.

3. How to find GCD of 971, 487, 698, 635 on a calculator?

You can find the GCD of 971, 487, 698, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.