GCD of 745, 622, 175, 680 Calculator

Given Input numbers are 745, 622, 175, 680

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 745, 622, 175, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 622, 175, 680 is 1.

Therefore, GCD of numbers 745, 622, 175, 680 is 1

Given Input Data is 745, 622, 175, 680

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 622 is 2 x 311

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(745, 622) = 463390

GCD(745, 622) = ( 745 x 622 ) / 463390

GCD(745, 622) = 463390 / 463390

GCD(745, 622) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 745, 622, 175, 680 is 1

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1. What is the GCD of 745, 622, 175, 680?

GCD of 745, 622, 175, 680 is 1

2. Where do I get the detailed procedure to find GCD of 745, 622, 175, 680?

You can find a detailed procedure to find GCD of 745, 622, 175, 680 on our page.

3. How to find GCD of 745, 622, 175, 680 on a calculator?

You can find the GCD of 745, 622, 175, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.