GCD of 560, 101, 734, 767 Calculator

Given Input numbers are 560, 101, 734, 767

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

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 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 560, 101, 734, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 101, 734, 767 is 1.

Therefore, GCD of numbers 560, 101, 734, 767 is 1

Given Input Data is 560, 101, 734, 767

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

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

Prime Factorization of 101 is 101

Prime Factorization of 734 is 2 x 367

Prime Factorization of 767 is 13 x 59

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(560, 101) = 56560

GCD(560, 101) = ( 560 x 101 ) / 56560

GCD(560, 101) = 56560 / 56560

GCD(560, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 560, 101, 734, 767 is 1

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1. What is the GCD of 560, 101, 734, 767?

GCD of 560, 101, 734, 767 is 1

2. Where do I get the detailed procedure to find GCD of 560, 101, 734, 767?

You can find a detailed procedure to find GCD of 560, 101, 734, 767 on our page.

3. How to find GCD of 560, 101, 734, 767 on a calculator?

You can find the GCD of 560, 101, 734, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.