Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/1960,380/9855
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 307,380
Greatest Common Factor of Numerators i.e. GCF of 307,380 is 1 .
LCM of Denominators means LCM of 1960,9855 as per the given fractions.
LCM of 1960,9855 is 3863160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 307,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 307,380 . The biggest common factor number is the GCF number.
So the greatest common factor 307,380 is 1.
Lets's calculate LCM of 1960,9855
5 | 1960, 9855 |
392, 1971 |
∴ So the LCM of the given numbers is 5 x 392 x 1971 = 3863160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3863160
Therefore, the GCF of Fractions 307/1960,380/9855 is 1/3863160
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 1960,9855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1960,9855) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(1960,9855) x common factors =5 x 1 = 5
LCM(1960,9855) = ( 1960 × 9855 ) / 5
LCM(1960,9855) = 19315800 / 5
LCM(1960,9855) = 3863160
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 307/1960, 380/9855?
Answer: GCF of Numerators as per given numbers 307/1960, 380/9855 is
GCF of Numerators i.e. for 307,380 is 1
LCM of denominators i.e. for 1960,9855 is 3863160.
Thus, GCF of Fractions is 1/3863160.Finally, GCF of Fractions for 307/1960, 380/9855 is 1/3863160.