Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5515/562,9140/922
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 5515,9140
Greatest Common Factor of Numerators i.e. GCF of 5515,9140 is 5 .
LCM of Denominators means LCM of 562,922 as per the given fractions.
LCM of 562,922 is 259082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5515,9140
5 | 5515, 9140 |
1103, 1828 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5515
List of positive integer factors of 5515 that divides 5515 without a remainder.
1,5,1103,5515
Factors of 9140
List of positive integer factors of 9140 that divides 9140 without a remainder.
1,2,4,5,10,20,457,914,1828,2285,4570,9140
Greatest Common Factor
We found the factors 5515,9140 . The biggest common factor number is the GCF number.
So the greatest common factor 5515,9140 is 5.
Lets's calculate LCM of 562,922
2 | 562, 922 |
281, 461 |
∴ So the LCM of the given numbers is 2 x 281 x 461 = 259082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/259082
Therefore, the GCF of Fractions 5515/562,9140/922 is 5/259082
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 562,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,922) x common factors =2 x 1 = 2
LCM(562,922) = ( 562 × 922 ) / 2
LCM(562,922) = 518164 / 2
LCM(562,922) = 259082
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 5515/562, 9140/922?
Answer: GCF of Numerators as per given numbers 5515/562, 9140/922 is
GCF of Numerators i.e. for 5515,9140 is 5
LCM of denominators i.e. for 562,922 is 259082.
Thus, GCF of Fractions is 5/259082.Finally, GCF of Fractions for 5515/562, 9140/922 is 5/259082.