Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9130/64,1713/767
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 9130,1713
Greatest Common Factor of Numerators i.e. GCF of 9130,1713 is 1 .
LCM of Denominators means LCM of 64,767 as per the given fractions.
LCM of 64,767 is 49088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9130,1713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9130
List of positive integer factors of 9130 that divides 9130 without a remainder.
1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130
Factors of 1713
List of positive integer factors of 1713 that divides 1713 without a remainder.
1,3,571,1713
Greatest Common Factor
We found the factors 9130,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 9130,1713 is 1.
Lets's calculate LCM of 64,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 49088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49088
Therefore, the GCF of Fractions 9130/64,1713/767 is 1/49088
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 64,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,767) x common factors =1 x 1 = 1
LCM(64,767) = ( 64 × 767 ) / 1
LCM(64,767) = 49088 / 1
LCM(64,767) = 49088
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 9130/64, 1713/767?
Answer: GCF of Numerators as per given numbers 9130/64, 1713/767 is
GCF of Numerators i.e. for 9130,1713 is 1
LCM of denominators i.e. for 64,767 is 49088.
Thus, GCF of Fractions is 1/49088.Finally, GCF of Fractions for 9130/64, 1713/767 is 1/49088.