Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5278/139,4940/414
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 5278,4940
Greatest Common Factor of Numerators i.e. GCF of 5278,4940 is 26 .
LCM of Denominators means LCM of 139,414 as per the given fractions.
LCM of 139,414 is 57546 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5278,4940
2 | 5278, 4940 |
13 | 2639, 2470 |
203, 190 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 5278
List of positive integer factors of 5278 that divides 5278 without a remainder.
1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278
Factors of 4940
List of positive integer factors of 4940 that divides 4940 without a remainder.
1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940
Greatest Common Factor
We found the factors 5278,4940 . The biggest common factor number is the GCF number.
So the greatest common factor 5278,4940 is 26.
Lets's calculate LCM of 139,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 57546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/57546
Therefore, the GCF of Fractions 5278/139,4940/414 is 26/57546
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 139,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,414) x common factors =1 x 1 = 1
LCM(139,414) = ( 139 × 414 ) / 1
LCM(139,414) = 57546 / 1
LCM(139,414) = 57546
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 5278/139, 4940/414?
Answer: GCF of Numerators as per given numbers 5278/139, 4940/414 is
GCF of Numerators i.e. for 5278,4940 is 26
LCM of denominators i.e. for 139,414 is 57546.
Thus, GCF of Fractions is 26/57546.Finally, GCF of Fractions for 5278/139, 4940/414 is 26/57546.