GCD of 749, 527, 98, 471 Calculator

Given Input numbers are 749, 527, 98, 471

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 749, 527, 98, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 527, 98, 471 is 1.

Therefore, GCD of numbers 749, 527, 98, 471 is 1

Given Input Data is 749, 527, 98, 471

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 527 is 17 x 31

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 471 is 3 x 157

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(749, 527) = 394723

GCD(749, 527) = ( 749 x 527 ) / 394723

GCD(749, 527) = 394723 / 394723

GCD(749, 527) = 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 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 749, 527, 98, 471 is 1

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1. What is the GCD of 749, 527, 98, 471?

GCD of 749, 527, 98, 471 is 1

2. Where do I get the detailed procedure to find GCD of 749, 527, 98, 471?

You can find a detailed procedure to find GCD of 749, 527, 98, 471 on our page.

3. How to find GCD of 749, 527, 98, 471 on a calculator?

You can find the GCD of 749, 527, 98, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.