GCD of 714, 776, 548, 680 Calculator

Given Input numbers are 714, 776, 548, 680

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 714, 776, 548, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 776, 548, 680 is 2.

Therefore, GCD of numbers 714, 776, 548, 680 is 2

Given Input Data is 714, 776, 548, 680

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 548 is 2 x 2 x 137

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(714, 776) = 277032

GCD(714, 776) = ( 714 x 776 ) / 277032

GCD(714, 776) = 554064 / 277032

GCD(714, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 714, 776, 548, 680 is 2

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1. What is the GCD of 714, 776, 548, 680?

GCD of 714, 776, 548, 680 is 2

2. Where do I get the detailed procedure to find GCD of 714, 776, 548, 680?

You can find a detailed procedure to find GCD of 714, 776, 548, 680 on our page.

3. How to find GCD of 714, 776, 548, 680 on a calculator?

You can find the GCD of 714, 776, 548, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.