GCD of 745, 677, 560, 488 Calculator

Given Input numbers are 745, 677, 560, 488

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 677

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

1, 677

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 745, 677, 560, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 677, 560, 488 is 1.

Therefore, GCD of numbers 745, 677, 560, 488 is 1

Given Input Data is 745, 677, 560, 488

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 677 is 677

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 488 is 2 x 2 x 2 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(745, 677) = 504365

GCD(745, 677) = ( 745 x 677 ) / 504365

GCD(745, 677) = 504365 / 504365

GCD(745, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 745, 677, 560, 488 is 1

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1. What is the GCD of 745, 677, 560, 488?

GCD of 745, 677, 560, 488 is 1

2. Where do I get the detailed procedure to find GCD of 745, 677, 560, 488?

You can find a detailed procedure to find GCD of 745, 677, 560, 488 on our page.

3. How to find GCD of 745, 677, 560, 488 on a calculator?

You can find the GCD of 745, 677, 560, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.