Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/417,1345/3696
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 55,1345
Greatest Common Factor of Numerators i.e. GCF of 55,1345 is 5 .
LCM of Denominators means LCM of 417,3696 as per the given fractions.
LCM of 417,3696 is 513744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,1345
5 | 55, 1345 |
11, 269 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 1345
List of positive integer factors of 1345 that divides 1345 without a remainder.
1,5,269,1345
Greatest Common Factor
We found the factors 55,1345 . The biggest common factor number is the GCF number.
So the greatest common factor 55,1345 is 5.
Lets's calculate LCM of 417,3696
3 | 417, 3696 |
139, 1232 |
∴ So the LCM of the given numbers is 3 x 139 x 1232 = 513744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/513744
Therefore, the GCF of Fractions 55/417,1345/3696 is 5/513744
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 417,3696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,3696) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,3696) x common factors =3 x 1 = 3
LCM(417,3696) = ( 417 × 3696 ) / 3
LCM(417,3696) = 1541232 / 3
LCM(417,3696) = 513744
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 55/417, 1345/3696?
Answer: GCF of Numerators as per given numbers 55/417, 1345/3696 is
GCF of Numerators i.e. for 55,1345 is 5
LCM of denominators i.e. for 417,3696 is 513744.
Thus, GCF of Fractions is 5/513744.Finally, GCF of Fractions for 55/417, 1345/3696 is 5/513744.