Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1277/618,9877/9779
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 1277,9877
Greatest Common Factor of Numerators i.e. GCF of 1277,9877 is 1 .
LCM of Denominators means LCM of 618,9779 as per the given fractions.
LCM of 618,9779 is 6043422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1277,9877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1277
List of positive integer factors of 1277 that divides 1277 without a remainder.
1,1277
Factors of 9877
List of positive integer factors of 9877 that divides 9877 without a remainder.
1,7,17,83,119,581,1411,9877
Greatest Common Factor
We found the factors 1277,9877 . The biggest common factor number is the GCF number.
So the greatest common factor 1277,9877 is 1.
Lets's calculate LCM of 618,9779
Given numbers has no common factors except 1. So, there LCM is their product i.e 6043422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6043422
Therefore, the GCF of Fractions 1277/618,9877/9779 is 1/6043422
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 618,9779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,9779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(618,9779) x common factors =1 x 1 = 1
LCM(618,9779) = ( 618 × 9779 ) / 1
LCM(618,9779) = 6043422 / 1
LCM(618,9779) = 6043422
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 1277/618, 9877/9779?
Answer: GCF of Numerators as per given numbers 1277/618, 9877/9779 is
GCF of Numerators i.e. for 1277,9877 is 1
LCM of denominators i.e. for 618,9779 is 6043422.
Thus, GCF of Fractions is 1/6043422.Finally, GCF of Fractions for 1277/618, 9877/9779 is 1/6043422.