Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8950/781,9153/3721
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 8950,9153
Greatest Common Factor of Numerators i.e. GCF of 8950,9153 is 1 .
LCM of Denominators means LCM of 781,3721 as per the given fractions.
LCM of 781,3721 is 2906101 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8950,9153
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8950
List of positive integer factors of 8950 that divides 8950 without a remainder.
1,2,5,10,25,50,179,358,895,1790,4475,8950
Factors of 9153
List of positive integer factors of 9153 that divides 9153 without a remainder.
1,3,9,27,81,113,339,1017,3051,9153
Greatest Common Factor
We found the factors 8950,9153 . The biggest common factor number is the GCF number.
So the greatest common factor 8950,9153 is 1.
Lets's calculate LCM of 781,3721
Given numbers has no common factors except 1. So, there LCM is their product i.e 2906101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2906101
Therefore, the GCF of Fractions 8950/781,9153/3721 is 1/2906101
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 781,3721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,3721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,3721) x common factors =1 x 1 = 1
LCM(781,3721) = ( 781 × 3721 ) / 1
LCM(781,3721) = 2906101 / 1
LCM(781,3721) = 2906101
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 8950/781, 9153/3721?
Answer: GCF of Numerators as per given numbers 8950/781, 9153/3721 is
GCF of Numerators i.e. for 8950,9153 is 1
LCM of denominators i.e. for 781,3721 is 2906101.
Thus, GCF of Fractions is 1/2906101.Finally, GCF of Fractions for 8950/781, 9153/3721 is 1/2906101.