Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1708/67,6511/909
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 1708,6511
Greatest Common Factor of Numerators i.e. GCF of 1708,6511 is 1 .
LCM of Denominators means LCM of 67,909 as per the given fractions.
LCM of 67,909 is 60903 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1708,6511
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1708
List of positive integer factors of 1708 that divides 1708 without a remainder.
1,2,4,7,14,28,61,122,244,427,854,1708
Factors of 6511
List of positive integer factors of 6511 that divides 6511 without a remainder.
1,17,383,6511
Greatest Common Factor
We found the factors 1708,6511 . The biggest common factor number is the GCF number.
So the greatest common factor 1708,6511 is 1.
Lets's calculate LCM of 67,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 60903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60903
Therefore, the GCF of Fractions 1708/67,6511/909 is 1/60903
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 67,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,909) x common factors =1 x 1 = 1
LCM(67,909) = ( 67 × 909 ) / 1
LCM(67,909) = 60903 / 1
LCM(67,909) = 60903
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 1708/67, 6511/909?
Answer: GCF of Numerators as per given numbers 1708/67, 6511/909 is
GCF of Numerators i.e. for 1708,6511 is 1
LCM of denominators i.e. for 67,909 is 60903.
Thus, GCF of Fractions is 1/60903.Finally, GCF of Fractions for 1708/67, 6511/909 is 1/60903.