GCD of 590, 714, 64, 702 Calculator

Given Input numbers are 590, 714, 64, 702

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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

Greatest Common Divisior

We found the divisors of 590, 714, 64, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 714, 64, 702 is 2.

Therefore, GCD of numbers 590, 714, 64, 702 is 2

Given Input Data is 590, 714, 64, 702

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

Prime Factorization of 590 is 2 x 5 x 59

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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

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(590, 714) = 210630

GCD(590, 714) = ( 590 x 714 ) / 210630

GCD(590, 714) = 421260 / 210630

GCD(590, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 590, 714, 64, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 986, 43, 940
• GCD of 818, 958, 73, 183
• GCD of 575, 714, 15, 708
• GCD of 392, 434, 65, 563
• GCD of 398, 691, 66, 365

1. What is the GCD of 590, 714, 64, 702?

GCD of 590, 714, 64, 702 is 2

2. Where do I get the detailed procedure to find GCD of 590, 714, 64, 702?

You can find a detailed procedure to find GCD of 590, 714, 64, 702 on our page.

3. How to find GCD of 590, 714, 64, 702 on a calculator?

You can find the GCD of 590, 714, 64, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.