GCD of 698, 378, 53, 732 Calculator

Given Input numbers are 698, 378, 53, 732

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 698, 378, 53, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 378, 53, 732 is 1.

Therefore, GCD of numbers 698, 378, 53, 732 is 1

Given Input Data is 698, 378, 53, 732

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 53 is 53

Prime Factorization of 732 is 2 x 2 x 3 x 61

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, 378) = 131922

GCD(698, 378) = ( 698 x 378 ) / 131922

GCD(698, 378) = 263844 / 131922

GCD(698, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 698, 378, 53, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 159, 69, 335
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• GCD of 740, 585, 52, 391
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1. What is the GCD of 698, 378, 53, 732?

GCD of 698, 378, 53, 732 is 1

2. Where do I get the detailed procedure to find GCD of 698, 378, 53, 732?

You can find a detailed procedure to find GCD of 698, 378, 53, 732 on our page.

3. How to find GCD of 698, 378, 53, 732 on a calculator?

You can find the GCD of 698, 378, 53, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.