Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6954/45,5518/251
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 6954,5518
Greatest Common Factor of Numerators i.e. GCF of 6954,5518 is 2 .
LCM of Denominators means LCM of 45,251 as per the given fractions.
LCM of 45,251 is 11295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6954,5518
2 | 6954, 5518 |
3477, 2759 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6954
List of positive integer factors of 6954 that divides 6954 without a remainder.
1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954
Factors of 5518
List of positive integer factors of 5518 that divides 5518 without a remainder.
1,2,31,62,89,178,2759,5518
Greatest Common Factor
We found the factors 6954,5518 . The biggest common factor number is the GCF number.
So the greatest common factor 6954,5518 is 2.
Lets's calculate LCM of 45,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 11295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11295
Therefore, the GCF of Fractions 6954/45,5518/251 is 2/11295
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 45,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,251) x common factors =1 x 1 = 1
LCM(45,251) = ( 45 × 251 ) / 1
LCM(45,251) = 11295 / 1
LCM(45,251) = 11295
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 6954/45, 5518/251?
Answer: GCF of Numerators as per given numbers 6954/45, 5518/251 is
GCF of Numerators i.e. for 6954,5518 is 2
LCM of denominators i.e. for 45,251 is 11295.
Thus, GCF of Fractions is 2/11295.Finally, GCF of Fractions for 6954/45, 5518/251 is 2/11295.