Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1347/155,2308/7808
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 1347,2308
Greatest Common Factor of Numerators i.e. GCF of 1347,2308 is 1 .
LCM of Denominators means LCM of 155,7808 as per the given fractions.
LCM of 155,7808 is 1210240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1347,2308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1347
List of positive integer factors of 1347 that divides 1347 without a remainder.
1,3,449,1347
Factors of 2308
List of positive integer factors of 2308 that divides 2308 without a remainder.
1,2,4,577,1154,2308
Greatest Common Factor
We found the factors 1347,2308 . The biggest common factor number is the GCF number.
So the greatest common factor 1347,2308 is 1.
Lets's calculate LCM of 155,7808
Given numbers has no common factors except 1. So, there LCM is their product i.e 1210240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1210240
Therefore, the GCF of Fractions 1347/155,2308/7808 is 1/1210240
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 155,7808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,7808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,7808) x common factors =1 x 1 = 1
LCM(155,7808) = ( 155 × 7808 ) / 1
LCM(155,7808) = 1210240 / 1
LCM(155,7808) = 1210240
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 1347/155, 2308/7808?
Answer: GCF of Numerators as per given numbers 1347/155, 2308/7808 is
GCF of Numerators i.e. for 1347,2308 is 1
LCM of denominators i.e. for 155,7808 is 1210240.
Thus, GCF of Fractions is 1/1210240.Finally, GCF of Fractions for 1347/155, 2308/7808 is 1/1210240.