GCD of 702, 682, 548, 736 Calculator

Given Input numbers are 702, 682, 548, 736

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 702, 682, 548, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 682, 548, 736 is 2.

Therefore, GCD of numbers 702, 682, 548, 736 is 2

Given Input Data is 702, 682, 548, 736

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(702, 682) = 239382

GCD(702, 682) = ( 702 x 682 ) / 239382

GCD(702, 682) = 478764 / 239382

GCD(702, 682) = 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 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 702, 682, 548, 736 is 2

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1. What is the GCD of 702, 682, 548, 736?

GCD of 702, 682, 548, 736 is 2

2. Where do I get the detailed procedure to find GCD of 702, 682, 548, 736?

You can find a detailed procedure to find GCD of 702, 682, 548, 736 on our page.

3. How to find GCD of 702, 682, 548, 736 on a calculator?

You can find the GCD of 702, 682, 548, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.