Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 338/515,6318/137
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 338,6318
Greatest Common Factor of Numerators i.e. GCF of 338,6318 is 26 .
LCM of Denominators means LCM of 515,137 as per the given fractions.
LCM of 515,137 is 70555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 338,6318
2 | 338, 6318 |
13 | 169, 3159 |
13, 243 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Greatest Common Factor
We found the factors 338,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 338,6318 is 26.
Lets's calculate LCM of 515,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 70555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/70555
Therefore, the GCF of Fractions 338/515,6318/137 is 26/70555
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 515,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,137) x common factors =1 x 1 = 1
LCM(515,137) = ( 515 × 137 ) / 1
LCM(515,137) = 70555 / 1
LCM(515,137) = 70555
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 338/515, 6318/137?
Answer: GCF of Numerators as per given numbers 338/515, 6318/137 is
GCF of Numerators i.e. for 338,6318 is 26
LCM of denominators i.e. for 515,137 is 70555.
Thus, GCF of Fractions is 26/70555.Finally, GCF of Fractions for 338/515, 6318/137 is 26/70555.