Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4601/871,9988/184
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 4601,9988
Greatest Common Factor of Numerators i.e. GCF of 4601,9988 is 1 .
LCM of Denominators means LCM of 871,184 as per the given fractions.
LCM of 871,184 is 160264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4601,9988
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4601
List of positive integer factors of 4601 that divides 4601 without a remainder.
1,43,107,4601
Factors of 9988
List of positive integer factors of 9988 that divides 9988 without a remainder.
1,2,4,11,22,44,227,454,908,2497,4994,9988
Greatest Common Factor
We found the factors 4601,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 4601,9988 is 1.
Lets's calculate LCM of 871,184
Given numbers has no common factors except 1. So, there LCM is their product i.e 160264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160264
Therefore, the GCF of Fractions 4601/871,9988/184 is 1/160264
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 871,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,184) x common factors =1 x 1 = 1
LCM(871,184) = ( 871 × 184 ) / 1
LCM(871,184) = 160264 / 1
LCM(871,184) = 160264
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 4601/871, 9988/184?
Answer: GCF of Numerators as per given numbers 4601/871, 9988/184 is
GCF of Numerators i.e. for 4601,9988 is 1
LCM of denominators i.e. for 871,184 is 160264.
Thus, GCF of Fractions is 1/160264.Finally, GCF of Fractions for 4601/871, 9988/184 is 1/160264.