Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5260/103,8540/245
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 5260,8540
Greatest Common Factor of Numerators i.e. GCF of 5260,8540 is 20 .
LCM of Denominators means LCM of 103,245 as per the given fractions.
LCM of 103,245 is 25235 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5260,8540
2 | 5260, 8540 |
2 | 2630, 4270 |
5 | 1315, 2135 |
263, 427 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 5260
List of positive integer factors of 5260 that divides 5260 without a remainder.
1,2,4,5,10,20,263,526,1052,1315,2630,5260
Factors of 8540
List of positive integer factors of 8540 that divides 8540 without a remainder.
1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Greatest Common Factor
We found the factors 5260,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 5260,8540 is 20.
Lets's calculate LCM of 103,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 25235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/25235
Therefore, the GCF of Fractions 5260/103,8540/245 is 20/25235
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 103,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,245) x common factors =1 x 1 = 1
LCM(103,245) = ( 103 × 245 ) / 1
LCM(103,245) = 25235 / 1
LCM(103,245) = 25235
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 5260/103, 8540/245?
Answer: GCF of Numerators as per given numbers 5260/103, 8540/245 is
GCF of Numerators i.e. for 5260,8540 is 20
LCM of denominators i.e. for 103,245 is 25235.
Thus, GCF of Fractions is 20/25235.Finally, GCF of Fractions for 5260/103, 8540/245 is 20/25235.