Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5268/149,3991/9967
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 5268,3991
Greatest Common Factor of Numerators i.e. GCF of 5268,3991 is 1 .
LCM of Denominators means LCM of 149,9967 as per the given fractions.
LCM of 149,9967 is 1485083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5268,3991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5268
List of positive integer factors of 5268 that divides 5268 without a remainder.
1,2,3,4,6,12,439,878,1317,1756,2634,5268
Factors of 3991
List of positive integer factors of 3991 that divides 3991 without a remainder.
1,13,307,3991
Greatest Common Factor
We found the factors 5268,3991 . The biggest common factor number is the GCF number.
So the greatest common factor 5268,3991 is 1.
Lets's calculate LCM of 149,9967
Given numbers has no common factors except 1. So, there LCM is their product i.e 1485083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1485083
Therefore, the GCF of Fractions 5268/149,3991/9967 is 1/1485083
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 149,9967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,9967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,9967) x common factors =1 x 1 = 1
LCM(149,9967) = ( 149 × 9967 ) / 1
LCM(149,9967) = 1485083 / 1
LCM(149,9967) = 1485083
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 5268/149, 3991/9967?
Answer: GCF of Numerators as per given numbers 5268/149, 3991/9967 is
GCF of Numerators i.e. for 5268,3991 is 1
LCM of denominators i.e. for 149,9967 is 1485083.
Thus, GCF of Fractions is 1/1485083.Finally, GCF of Fractions for 5268/149, 3991/9967 is 1/1485083.