GCD of 677, 705, 625, 296 Calculator

Given Input numbers are 677, 705, 625, 296

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

Divisors of 677

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

1, 677

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 677, 705, 625, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 705, 625, 296 is 1.

Therefore, GCD of numbers 677, 705, 625, 296 is 1

Given Input Data is 677, 705, 625, 296

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

Prime Factorization of 677 is 677

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(677, 705) = 477285

GCD(677, 705) = ( 677 x 705 ) / 477285

GCD(677, 705) = 477285 / 477285

GCD(677, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 677, 705, 625, 296 is 1

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• GCD of 234, 720, 329, 436
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1. What is the GCD of 677, 705, 625, 296?

GCD of 677, 705, 625, 296 is 1

2. Where do I get the detailed procedure to find GCD of 677, 705, 625, 296?

You can find a detailed procedure to find GCD of 677, 705, 625, 296 on our page.

3. How to find GCD of 677, 705, 625, 296 on a calculator?

You can find the GCD of 677, 705, 625, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.