Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 381/902,8307/897
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 381,8307
Greatest Common Factor of Numerators i.e. GCF of 381,8307 is 3 .
LCM of Denominators means LCM of 902,897 as per the given fractions.
LCM of 902,897 is 809094 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 381,8307
3 | 381, 8307 |
127, 2769 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 8307
List of positive integer factors of 8307 that divides 8307 without a remainder.
1,3,9,13,39,71,117,213,639,923,2769,8307
Greatest Common Factor
We found the factors 381,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 381,8307 is 3.
Lets's calculate LCM of 902,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 809094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/809094
Therefore, the GCF of Fractions 381/902,8307/897 is 3/809094
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 902,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,897) x common factors =1 x 1 = 1
LCM(902,897) = ( 902 × 897 ) / 1
LCM(902,897) = 809094 / 1
LCM(902,897) = 809094
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 381/902, 8307/897?
Answer: GCF of Numerators as per given numbers 381/902, 8307/897 is
GCF of Numerators i.e. for 381,8307 is 3
LCM of denominators i.e. for 902,897 is 809094.
Thus, GCF of Fractions is 3/809094.Finally, GCF of Fractions for 381/902, 8307/897 is 3/809094.