GCD of 30, 945, 688, 967 Calculator

Given Input numbers are 30, 945, 688, 967

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 30, 945, 688, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 945, 688, 967 is 1.

Therefore, GCD of numbers 30, 945, 688, 967 is 1

Given Input Data is 30, 945, 688, 967

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 967 is 967

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(30, 945) = 1890

GCD(30, 945) = ( 30 x 945 ) / 1890

GCD(30, 945) = 28350 / 1890

GCD(30, 945) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 688

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

LCM(15, 688) = 10320

GCD(15, 688) = ( 15 x 688 ) / 10320

GCD(15, 688) = 10320 / 10320

GCD(15, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 30, 945, 688, 967 is 1

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1. What is the GCD of 30, 945, 688, 967?

GCD of 30, 945, 688, 967 is 1

2. Where do I get the detailed procedure to find GCD of 30, 945, 688, 967?

You can find a detailed procedure to find GCD of 30, 945, 688, 967 on our page.

3. How to find GCD of 30, 945, 688, 967 on a calculator?

You can find the GCD of 30, 945, 688, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.