GCD of 702, 960, 38, 598 Calculator

Given Input numbers are 702, 960, 38, 598

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 702, 960, 38, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 960, 38, 598 is 2.

Therefore, GCD of numbers 702, 960, 38, 598 is 2

Given Input Data is 702, 960, 38, 598

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 38 is 2 x 19

Prime Factorization of 598 is 2 x 13 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, 960) = 112320

GCD(702, 960) = ( 702 x 960 ) / 112320

GCD(702, 960) = 673920 / 112320

GCD(702, 960) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

GCD of 702, 960, 38, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 260, 23, 764
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• GCD of 402, 913, 28, 772
• GCD of 189, 247, 61, 916

1. What is the GCD of 702, 960, 38, 598?

GCD of 702, 960, 38, 598 is 2

2. Where do I get the detailed procedure to find GCD of 702, 960, 38, 598?

You can find a detailed procedure to find GCD of 702, 960, 38, 598 on our page.

3. How to find GCD of 702, 960, 38, 598 on a calculator?

You can find the GCD of 702, 960, 38, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.