Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3876/678,5354/109
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 3876,5354
Greatest Common Factor of Numerators i.e. GCF of 3876,5354 is 2 .
LCM of Denominators means LCM of 678,109 as per the given fractions.
LCM of 678,109 is 73902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3876,5354
2 | 3876, 5354 |
1938, 2677 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3876
List of positive integer factors of 3876 that divides 3876 without a remainder.
1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Factors of 5354
List of positive integer factors of 5354 that divides 5354 without a remainder.
1,2,2677,5354
Greatest Common Factor
We found the factors 3876,5354 . The biggest common factor number is the GCF number.
So the greatest common factor 3876,5354 is 2.
Lets's calculate LCM of 678,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 73902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73902
Therefore, the GCF of Fractions 3876/678,5354/109 is 2/73902
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 678,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,109) x common factors =1 x 1 = 1
LCM(678,109) = ( 678 × 109 ) / 1
LCM(678,109) = 73902 / 1
LCM(678,109) = 73902
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 3876/678, 5354/109?
Answer: GCF of Numerators as per given numbers 3876/678, 5354/109 is
GCF of Numerators i.e. for 3876,5354 is 2
LCM of denominators i.e. for 678,109 is 73902.
Thus, GCF of Fractions is 2/73902.Finally, GCF of Fractions for 3876/678, 5354/109 is 2/73902.