GCD of 300, 702, 67, 959 Calculator

Given Input numbers are 300, 702, 67, 959

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 300, 702, 67, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 702, 67, 959 is 1.

Therefore, GCD of numbers 300, 702, 67, 959 is 1

Given Input Data is 300, 702, 67, 959

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 67 is 67

Prime Factorization of 959 is 7 x 137

The above numbers do not have any common prime factor. So GCD is 1

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(300, 702) = 35100

GCD(300, 702) = ( 300 x 702 ) / 35100

GCD(300, 702) = 210600 / 35100

GCD(300, 702) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 67

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

LCM(6, 67) = 402

GCD(6, 67) = ( 6 x 67 ) / 402

GCD(6, 67) = 402 / 402

GCD(6, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 300, 702, 67, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 424, 31, 173
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• GCD of 719, 111, 25, 216

1. What is the GCD of 300, 702, 67, 959?

GCD of 300, 702, 67, 959 is 1

2. Where do I get the detailed procedure to find GCD of 300, 702, 67, 959?

You can find a detailed procedure to find GCD of 300, 702, 67, 959 on our page.

3. How to find GCD of 300, 702, 67, 959 on a calculator?

You can find the GCD of 300, 702, 67, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.