Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4375/910,7394/9413
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 4375,7394
Greatest Common Factor of Numerators i.e. GCF of 4375,7394 is 1 .
LCM of Denominators means LCM of 910,9413 as per the given fractions.
LCM of 910,9413 is 8565830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4375,7394
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4375
List of positive integer factors of 4375 that divides 4375 without a remainder.
1,5,7,25,35,125,175,625,875,4375
Factors of 7394
List of positive integer factors of 7394 that divides 7394 without a remainder.
1,2,3697,7394
Greatest Common Factor
We found the factors 4375,7394 . The biggest common factor number is the GCF number.
So the greatest common factor 4375,7394 is 1.
Lets's calculate LCM of 910,9413
Given numbers has no common factors except 1. So, there LCM is their product i.e 8565830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8565830
Therefore, the GCF of Fractions 4375/910,7394/9413 is 1/8565830
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 910,9413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,9413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,9413) x common factors =1 x 1 = 1
LCM(910,9413) = ( 910 × 9413 ) / 1
LCM(910,9413) = 8565830 / 1
LCM(910,9413) = 8565830
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 4375/910, 7394/9413?
Answer: GCF of Numerators as per given numbers 4375/910, 7394/9413 is
GCF of Numerators i.e. for 4375,7394 is 1
LCM of denominators i.e. for 910,9413 is 8565830.
Thus, GCF of Fractions is 1/8565830.Finally, GCF of Fractions for 4375/910, 7394/9413 is 1/8565830.