Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/862,7118/8167
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 297,7118
Greatest Common Factor of Numerators i.e. GCF of 297,7118 is 1 .
LCM of Denominators means LCM of 862,8167 as per the given fractions.
LCM of 862,8167 is 7039954 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,7118
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 7118
List of positive integer factors of 7118 that divides 7118 without a remainder.
1,2,3559,7118
Greatest Common Factor
We found the factors 297,7118 . The biggest common factor number is the GCF number.
So the greatest common factor 297,7118 is 1.
Lets's calculate LCM of 862,8167
Given numbers has no common factors except 1. So, there LCM is their product i.e 7039954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7039954
Therefore, the GCF of Fractions 297/862,7118/8167 is 1/7039954
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 862,8167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,8167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,8167) x common factors =1 x 1 = 1
LCM(862,8167) = ( 862 × 8167 ) / 1
LCM(862,8167) = 7039954 / 1
LCM(862,8167) = 7039954
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 297/862, 7118/8167?
Answer: GCF of Numerators as per given numbers 297/862, 7118/8167 is
GCF of Numerators i.e. for 297,7118 is 1
LCM of denominators i.e. for 862,8167 is 7039954.
Thus, GCF of Fractions is 1/7039954.Finally, GCF of Fractions for 297/862, 7118/8167 is 1/7039954.