Greatest Common Factor of 27/398, 434/777, 949/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/398, 434/777, 949/462

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 27/398,434/777,949/462

Given fractions are 27/398,434/777,949/462

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 27,434,949

Greatest Common Factor of Numerators i.e. GCF of 27,434,949 is 1 .

LCM of Denominators means LCM of 398,777,462 as per the given fractions.

LCM of 398,777,462 is 3401706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,434,949

GCF of Fractions 27/398,434/777,949/462 is 1/3401706

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

Greatest Common Factor of 27,434,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,434,949 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 27,434,949 . The biggest common factor number is the GCF number.
So the greatest common factor 27,434,949 is 1.

Lets's calculate LCM of 398,777,462

2 398, 777, 462
3 199, 777, 231
7 199, 259, 77
199, 37, 11

∴ So the LCM of the given numbers is 2 x 3 x 7 x 199 x 37 x 11 = 3401706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3401706

Therefore, the GCF of Fractions 27/398,434/777,949/462 is 1/3401706

Least Common Multiple of 398,777,462 with GCF Formula

Least Common Multiple of 398,777,462 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 398,777,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,777,462) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(398,777,462) x common factors =1 x 42 = 42

LCM(398,777,462) = ( 398 × 777 × 462 ) / 42

LCM(398,777,462) = 142871652 / 42

LCM(398,777,462) = 3401706


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 27/398, 434/777, 949/462

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 27/398, 434/777, 949/462?

Answer: GCF of Numerators as per given numbers 27/398, 434/777, 949/462 is

GCF of Numerators i.e. for 27,434,949 is 1

LCM of denominators i.e. for 398,777,462 is 3401706.

Thus, GCF of Fractions is 1/3401706.Finally, GCF of Fractions for 27/398, 434/777, 949/462 is 1/3401706.