Greatest Common Factor of 893/397, 9259/4362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/397, 9259/4362

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 893/397,9259/4362

Given fractions are 893/397,9259/4362

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 893,9259

Greatest Common Factor of Numerators i.e. GCF of 893,9259 is 47 .

LCM of Denominators means LCM of 397,4362 as per the given fractions.

LCM of 397,4362 is 1731714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,9259

GCF of Fractions 893/397,9259/4362 is 47/1731714

47 893, 9259
19, 197

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 893,9259 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,9259 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 9259

List of positive integer factors of 9259 that divides 9259 without a remainder.

1,47,197,9259

Greatest Common Factor

We found the factors 893,9259 . The biggest common factor number is the GCF number.
So the greatest common factor 893,9259 is 47.

Lets's calculate LCM of 397,4362

Given numbers has no common factors except 1. So, there LCM is their product i.e 1731714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1731714

Therefore, the GCF of Fractions 893/397,9259/4362 is 47/1731714

Least Common Multiple of 397,4362 with GCF Formula

Least Common Multiple of 397,4362 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 397,4362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,4362) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(397,4362) x common factors =1 x 1 = 1

LCM(397,4362) = ( 397 × 4362 ) / 1

LCM(397,4362) = 1731714 / 1

LCM(397,4362) = 1731714


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 893/397, 9259/4362

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 893/397, 9259/4362?

Answer: GCF of Numerators as per given numbers 893/397, 9259/4362 is

GCF of Numerators i.e. for 893,9259 is 47

LCM of denominators i.e. for 397,4362 is 1731714.

Thus, GCF of Fractions is 47/1731714.Finally, GCF of Fractions for 893/397, 9259/4362 is 47/1731714.