Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2497/853,9863/6714
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 2497,9863
Greatest Common Factor of Numerators i.e. GCF of 2497,9863 is 1 .
LCM of Denominators means LCM of 853,6714 as per the given fractions.
LCM of 853,6714 is 5727042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2497,9863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2497
List of positive integer factors of 2497 that divides 2497 without a remainder.
1,11,227,2497
Factors of 9863
List of positive integer factors of 9863 that divides 9863 without a remainder.
1,7,1409,9863
Greatest Common Factor
We found the factors 2497,9863 . The biggest common factor number is the GCF number.
So the greatest common factor 2497,9863 is 1.
Lets's calculate LCM of 853,6714
Given numbers has no common factors except 1. So, there LCM is their product i.e 5727042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5727042
Therefore, the GCF of Fractions 2497/853,9863/6714 is 1/5727042
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 853,6714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,6714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,6714) x common factors =1 x 1 = 1
LCM(853,6714) = ( 853 × 6714 ) / 1
LCM(853,6714) = 5727042 / 1
LCM(853,6714) = 5727042
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 2497/853, 9863/6714?
Answer: GCF of Numerators as per given numbers 2497/853, 9863/6714 is
GCF of Numerators i.e. for 2497,9863 is 1
LCM of denominators i.e. for 853,6714 is 5727042.
Thus, GCF of Fractions is 1/5727042.Finally, GCF of Fractions for 2497/853, 9863/6714 is 1/5727042.