GCD of 390, 706, 88, 340 Calculator

Given Input numbers are 390, 706, 88, 340

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 390, 706, 88, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 706, 88, 340 is 2.

Therefore, GCD of numbers 390, 706, 88, 340 is 2

Given Input Data is 390, 706, 88, 340

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 706 is 2 x 353

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 340 is 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(390, 706) = 137670

GCD(390, 706) = ( 390 x 706 ) / 137670

GCD(390, 706) = 275340 / 137670

GCD(390, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 390, 706, 88, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 567, 27, 192
• GCD of 723, 331, 47, 682
• GCD of 969, 211, 98, 617
• GCD of 146, 875, 83, 436
• GCD of 650, 803, 61, 760

1. What is the GCD of 390, 706, 88, 340?

GCD of 390, 706, 88, 340 is 2

2. Where do I get the detailed procedure to find GCD of 390, 706, 88, 340?

You can find a detailed procedure to find GCD of 390, 706, 88, 340 on our page.

3. How to find GCD of 390, 706, 88, 340 on a calculator?

You can find the GCD of 390, 706, 88, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.