GCD of 967, 946, 882, 414 Calculator

Given Input numbers are 967, 946, 882, 414

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

Divisors of 967

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

1, 967

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 967, 946, 882, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 946, 882, 414 is 1.

Therefore, GCD of numbers 967, 946, 882, 414 is 1

Given Input Data is 967, 946, 882, 414

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

Prime Factorization of 967 is 967

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(967, 946) = 914782

GCD(967, 946) = ( 967 x 946 ) / 914782

GCD(967, 946) = 914782 / 914782

GCD(967, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 967, 946, 882, 414 is 1

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1. What is the GCD of 967, 946, 882, 414?

GCD of 967, 946, 882, 414 is 1

2. Where do I get the detailed procedure to find GCD of 967, 946, 882, 414?

You can find a detailed procedure to find GCD of 967, 946, 882, 414 on our page.

3. How to find GCD of 967, 946, 882, 414 on a calculator?

You can find the GCD of 967, 946, 882, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.