Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1264/648,1571/6397
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 1264,1571
Greatest Common Factor of Numerators i.e. GCF of 1264,1571 is 1 .
LCM of Denominators means LCM of 648,6397 as per the given fractions.
LCM of 648,6397 is 4145256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1264,1571
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1264
List of positive integer factors of 1264 that divides 1264 without a remainder.
1,2,4,8,16,79,158,316,632,1264
Factors of 1571
List of positive integer factors of 1571 that divides 1571 without a remainder.
1,1571
Greatest Common Factor
We found the factors 1264,1571 . The biggest common factor number is the GCF number.
So the greatest common factor 1264,1571 is 1.
Lets's calculate LCM of 648,6397
Given numbers has no common factors except 1. So, there LCM is their product i.e 4145256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4145256
Therefore, the GCF of Fractions 1264/648,1571/6397 is 1/4145256
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 648,6397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,6397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,6397) x common factors =1 x 1 = 1
LCM(648,6397) = ( 648 × 6397 ) / 1
LCM(648,6397) = 4145256 / 1
LCM(648,6397) = 4145256
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 1264/648, 1571/6397?
Answer: GCF of Numerators as per given numbers 1264/648, 1571/6397 is
GCF of Numerators i.e. for 1264,1571 is 1
LCM of denominators i.e. for 648,6397 is 4145256.
Thus, GCF of Fractions is 1/4145256.Finally, GCF of Fractions for 1264/648, 1571/6397 is 1/4145256.