Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 508/6366,381/3314
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 508,381
Greatest Common Factor of Numerators i.e. GCF of 508,381 is 127 .
LCM of Denominators means LCM of 6366,3314 as per the given fractions.
LCM of 6366,3314 is 10548462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 508,381
127 | 508, 381 |
4, 3 |
∴ So the GCF of the given numbers is 127 = 127
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 508,381 . The biggest common factor number is the GCF number.
So the greatest common factor 508,381 is 127.
Lets's calculate LCM of 6366,3314
2 | 6366, 3314 |
3183, 1657 |
∴ So the LCM of the given numbers is 2 x 3183 x 1657 = 10548462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 127/10548462
Therefore, the GCF of Fractions 508/6366,381/3314 is 127/10548462
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 6366,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6366,3314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6366,3314) x common factors =2 x 1 = 2
LCM(6366,3314) = ( 6366 × 3314 ) / 2
LCM(6366,3314) = 21096924 / 2
LCM(6366,3314) = 10548462
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 508/6366, 381/3314?
Answer: GCF of Numerators as per given numbers 508/6366, 381/3314 is
GCF of Numerators i.e. for 508,381 is 127
LCM of denominators i.e. for 6366,3314 is 10548462.
Thus, GCF of Fractions is 127/10548462.Finally, GCF of Fractions for 508/6366, 381/3314 is 127/10548462.