GCD of 698, 735, 271, 977 Calculator

Given Input numbers are 698, 735, 271, 977

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 698, 735, 271, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 735, 271, 977 is 1.

Therefore, GCD of numbers 698, 735, 271, 977 is 1

Given Input Data is 698, 735, 271, 977

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 271 is 271

Prime Factorization of 977 is 977

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(698, 735) = 513030

GCD(698, 735) = ( 698 x 735 ) / 513030

GCD(698, 735) = 513030 / 513030

GCD(698, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 698, 735, 271, 977 is 1

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1. What is the GCD of 698, 735, 271, 977?

GCD of 698, 735, 271, 977 is 1

2. Where do I get the detailed procedure to find GCD of 698, 735, 271, 977?

You can find a detailed procedure to find GCD of 698, 735, 271, 977 on our page.

3. How to find GCD of 698, 735, 271, 977 on a calculator?

You can find the GCD of 698, 735, 271, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.