Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7921/89,5319/785
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 7921,5319
Greatest Common Factor of Numerators i.e. GCF of 7921,5319 is 1 .
LCM of Denominators means LCM of 89,785 as per the given fractions.
LCM of 89,785 is 69865 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7921,5319
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7921
List of positive integer factors of 7921 that divides 7921 without a remainder.
1,89,7921
Factors of 5319
List of positive integer factors of 5319 that divides 5319 without a remainder.
1,3,9,27,197,591,1773,5319
Greatest Common Factor
We found the factors 7921,5319 . The biggest common factor number is the GCF number.
So the greatest common factor 7921,5319 is 1.
Lets's calculate LCM of 89,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 69865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69865
Therefore, the GCF of Fractions 7921/89,5319/785 is 1/69865
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 89,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,785) x common factors =1 x 1 = 1
LCM(89,785) = ( 89 × 785 ) / 1
LCM(89,785) = 69865 / 1
LCM(89,785) = 69865
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 7921/89, 5319/785?
Answer: GCF of Numerators as per given numbers 7921/89, 5319/785 is
GCF of Numerators i.e. for 7921,5319 is 1
LCM of denominators i.e. for 89,785 is 69865.
Thus, GCF of Fractions is 1/69865.Finally, GCF of Fractions for 7921/89, 5319/785 is 1/69865.