GCD of 698, 919, 52, 749 Calculator

Given Input numbers are 698, 919, 52, 749

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 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 698, 919, 52, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 919, 52, 749 is 1.

Therefore, GCD of numbers 698, 919, 52, 749 is 1

Given Input Data is 698, 919, 52, 749

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 919 is 919

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 749 is 7 x 107

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, 919) = 641462

GCD(698, 919) = ( 698 x 919 ) / 641462

GCD(698, 919) = 641462 / 641462

GCD(698, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 698, 919, 52, 749 is 1

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• GCD of 341, 712, 57, 649
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1. What is the GCD of 698, 919, 52, 749?

GCD of 698, 919, 52, 749 is 1

2. Where do I get the detailed procedure to find GCD of 698, 919, 52, 749?

You can find a detailed procedure to find GCD of 698, 919, 52, 749 on our page.

3. How to find GCD of 698, 919, 52, 749 on a calculator?

You can find the GCD of 698, 919, 52, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.