Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7073/236,1211/407
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 7073,1211
Greatest Common Factor of Numerators i.e. GCF of 7073,1211 is 1 .
LCM of Denominators means LCM of 236,407 as per the given fractions.
LCM of 236,407 is 96052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7073,1211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1,11,643,7073
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1,7,173,1211
Greatest Common Factor
We found the factors 7073,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 7073,1211 is 1.
Lets's calculate LCM of 236,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 96052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96052
Therefore, the GCF of Fractions 7073/236,1211/407 is 1/96052
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 236,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,407) x common factors =1 x 1 = 1
LCM(236,407) = ( 236 × 407 ) / 1
LCM(236,407) = 96052 / 1
LCM(236,407) = 96052
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 7073/236, 1211/407?
Answer: GCF of Numerators as per given numbers 7073/236, 1211/407 is
GCF of Numerators i.e. for 7073,1211 is 1
LCM of denominators i.e. for 236,407 is 96052.
Thus, GCF of Fractions is 1/96052.Finally, GCF of Fractions for 7073/236, 1211/407 is 1/96052.