GCD of 526, 645, 98, 686 Calculator

Given Input numbers are 526, 645, 98, 686

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 526, 645, 98, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 645, 98, 686 is 1.

Therefore, GCD of numbers 526, 645, 98, 686 is 1

Given Input Data is 526, 645, 98, 686

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(526, 645) = 339270

GCD(526, 645) = ( 526 x 645 ) / 339270

GCD(526, 645) = 339270 / 339270

GCD(526, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 526, 645, 98, 686 is 1

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1. What is the GCD of 526, 645, 98, 686?

GCD of 526, 645, 98, 686 is 1

2. Where do I get the detailed procedure to find GCD of 526, 645, 98, 686?

You can find a detailed procedure to find GCD of 526, 645, 98, 686 on our page.

3. How to find GCD of 526, 645, 98, 686 on a calculator?

You can find the GCD of 526, 645, 98, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.