Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5202/751,6135/7969
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 5202,6135
Greatest Common Factor of Numerators i.e. GCF of 5202,6135 is 3 .
LCM of Denominators means LCM of 751,7969 as per the given fractions.
LCM of 751,7969 is 5984719 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5202,6135
3 | 5202, 6135 |
1734, 2045 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5202
List of positive integer factors of 5202 that divides 5202 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Factors of 6135
List of positive integer factors of 6135 that divides 6135 without a remainder.
1,3,5,15,409,1227,2045,6135
Greatest Common Factor
We found the factors 5202,6135 . The biggest common factor number is the GCF number.
So the greatest common factor 5202,6135 is 3.
Lets's calculate LCM of 751,7969
Given numbers has no common factors except 1. So, there LCM is their product i.e 5984719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5984719
Therefore, the GCF of Fractions 5202/751,6135/7969 is 3/5984719
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 751,7969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,7969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,7969) x common factors =1 x 1 = 1
LCM(751,7969) = ( 751 × 7969 ) / 1
LCM(751,7969) = 5984719 / 1
LCM(751,7969) = 5984719
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 5202/751, 6135/7969?
Answer: GCF of Numerators as per given numbers 5202/751, 6135/7969 is
GCF of Numerators i.e. for 5202,6135 is 3
LCM of denominators i.e. for 751,7969 is 5984719.
Thus, GCF of Fractions is 3/5984719.Finally, GCF of Fractions for 5202/751, 6135/7969 is 3/5984719.