GCD of 294, 350, 967, 458 Calculator

Given Input numbers are 294, 350, 967, 458

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 967

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

1, 967

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 294, 350, 967, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 350, 967, 458 is 1.

Therefore, GCD of numbers 294, 350, 967, 458 is 1

Given Input Data is 294, 350, 967, 458

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 967 is 967

Prime Factorization of 458 is 2 x 229

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(294, 350) = 7350

GCD(294, 350) = ( 294 x 350 ) / 7350

GCD(294, 350) = 102900 / 7350

GCD(294, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 967

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

LCM(14, 967) = 13538

GCD(14, 967) = ( 14 x 967 ) / 13538

GCD(14, 967) = 13538 / 13538

GCD(14, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 294, 350, 967, 458 is 1

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1. What is the GCD of 294, 350, 967, 458?

GCD of 294, 350, 967, 458 is 1

2. Where do I get the detailed procedure to find GCD of 294, 350, 967, 458?

You can find a detailed procedure to find GCD of 294, 350, 967, 458 on our page.

3. How to find GCD of 294, 350, 967, 458 on a calculator?

You can find the GCD of 294, 350, 967, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.