Greatest Common Factor of 97/814, 23/407, 383/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/814, 23/407, 383/781

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 97/814,23/407,383/781

Given fractions are 97/814,23/407,383/781

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 97,23,383

Greatest Common Factor of Numerators i.e. GCF of 97,23,383 is 1 .

LCM of Denominators means LCM of 814,407,781 as per the given fractions.

LCM of 814,407,781 is 57794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,23,383

GCF of Fractions 97/814,23/407,383/781 is 1/57794

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 97,23,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,23,383 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 97,23,383 . The biggest common factor number is the GCF number.
So the greatest common factor 97,23,383 is 1.

Lets's calculate LCM of 814,407,781

11 814, 407, 781
37 74, 37, 71
2, 1, 71

∴ So the LCM of the given numbers is 11 x 37 x 2 x 1 x 71 = 57794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57794

Therefore, the GCF of Fractions 97/814,23/407,383/781 is 1/57794

Least Common Multiple of 814,407,781 with GCF Formula

Least Common Multiple of 814,407,781 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 814,407,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,407,781) = 11

common factors(in case of two or more numbers have common factors) = 407

GCF(814,407,781) x common factors =11 x 407 = 4477

LCM(814,407,781) = ( 814 × 407 × 781 ) / 4477

LCM(814,407,781) = 258743738 / 4477

LCM(814,407,781) = 57794


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 97/814, 23/407, 383/781

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 97/814, 23/407, 383/781?

Answer: GCF of Numerators as per given numbers 97/814, 23/407, 383/781 is

GCF of Numerators i.e. for 97,23,383 is 1

LCM of denominators i.e. for 814,407,781 is 57794.

Thus, GCF of Fractions is 1/57794.Finally, GCF of Fractions for 97/814, 23/407, 383/781 is 1/57794.