GCD of 298, 601, 707, 942 Calculator

Given Input numbers are 298, 601, 707, 942

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 298, 601, 707, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 601, 707, 942 is 1.

Therefore, GCD of numbers 298, 601, 707, 942 is 1

Given Input Data is 298, 601, 707, 942

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 601 is 601

Prime Factorization of 707 is 7 x 101

Prime Factorization of 942 is 2 x 3 x 157

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(298, 601) = 179098

GCD(298, 601) = ( 298 x 601 ) / 179098

GCD(298, 601) = 179098 / 179098

GCD(298, 601) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 298, 601, 707, 942 is 1

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1. What is the GCD of 298, 601, 707, 942?

GCD of 298, 601, 707, 942 is 1

2. Where do I get the detailed procedure to find GCD of 298, 601, 707, 942?

You can find a detailed procedure to find GCD of 298, 601, 707, 942 on our page.

3. How to find GCD of 298, 601, 707, 942 on a calculator?

You can find the GCD of 298, 601, 707, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.