GCD of 688, 737, 348, 677 Calculator

Given Input numbers are 688, 737, 348, 677

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 677

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

1, 677

Greatest Common Divisior

We found the divisors of 688, 737, 348, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 737, 348, 677 is 1.

Therefore, GCD of numbers 688, 737, 348, 677 is 1

Given Input Data is 688, 737, 348, 677

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 737 is 11 x 67

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 677 is 677

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(688, 737) = 507056

GCD(688, 737) = ( 688 x 737 ) / 507056

GCD(688, 737) = 507056 / 507056

GCD(688, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 688, 737, 348, 677 is 1

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1. What is the GCD of 688, 737, 348, 677?

GCD of 688, 737, 348, 677 is 1

2. Where do I get the detailed procedure to find GCD of 688, 737, 348, 677?

You can find a detailed procedure to find GCD of 688, 737, 348, 677 on our page.

3. How to find GCD of 688, 737, 348, 677 on a calculator?

You can find the GCD of 688, 737, 348, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.