GCD of 704, 544, 677, 202 Calculator

Given Input numbers are 704, 544, 677, 202

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 704, 544, 677, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 544, 677, 202 is 1.

Therefore, GCD of numbers 704, 544, 677, 202 is 1

Given Input Data is 704, 544, 677, 202

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 677 is 677

Prime Factorization of 202 is 2 x 101

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(704, 544) = 11968

GCD(704, 544) = ( 704 x 544 ) / 11968

GCD(704, 544) = 382976 / 11968

GCD(704, 544) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 677

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

LCM(32, 677) = 21664

GCD(32, 677) = ( 32 x 677 ) / 21664

GCD(32, 677) = 21664 / 21664

GCD(32, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 704, 544, 677, 202 is 1

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1. What is the GCD of 704, 544, 677, 202?

GCD of 704, 544, 677, 202 is 1

2. Where do I get the detailed procedure to find GCD of 704, 544, 677, 202?

You can find a detailed procedure to find GCD of 704, 544, 677, 202 on our page.

3. How to find GCD of 704, 544, 677, 202 on a calculator?

You can find the GCD of 704, 544, 677, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.