GCD of 734, 545, 780, 686 Calculator

Given Input numbers are 734, 545, 780, 686

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

Divisors of 734

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

1, 2, 367, 734

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 734, 545, 780, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 545, 780, 686 is 1.

Therefore, GCD of numbers 734, 545, 780, 686 is 1

Given Input Data is 734, 545, 780, 686

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 545 is 5 x 109

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(734, 545) = 400030

GCD(734, 545) = ( 734 x 545 ) / 400030

GCD(734, 545) = 400030 / 400030

GCD(734, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 734, 545, 780, 686 is 1

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1. What is the GCD of 734, 545, 780, 686?

GCD of 734, 545, 780, 686 is 1

2. Where do I get the detailed procedure to find GCD of 734, 545, 780, 686?

You can find a detailed procedure to find GCD of 734, 545, 780, 686 on our page.

3. How to find GCD of 734, 545, 780, 686 on a calculator?

You can find the GCD of 734, 545, 780, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.