Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6135/551,7410/879
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 6135,7410
Greatest Common Factor of Numerators i.e. GCF of 6135,7410 is 15 .
LCM of Denominators means LCM of 551,879 as per the given fractions.
LCM of 551,879 is 484329 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6135,7410
3 | 6135, 7410 |
5 | 2045, 2470 |
409, 494 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 6135
List of positive integer factors of 6135 that divides 6135 without a remainder.
1,3,5,15,409,1227,2045,6135
Factors of 7410
List of positive integer factors of 7410 that divides 7410 without a remainder.
1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 6135,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 6135,7410 is 15.
Lets's calculate LCM of 551,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 484329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/484329
Therefore, the GCF of Fractions 6135/551,7410/879 is 15/484329
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 551,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,879) x common factors =1 x 1 = 1
LCM(551,879) = ( 551 × 879 ) / 1
LCM(551,879) = 484329 / 1
LCM(551,879) = 484329
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 6135/551, 7410/879?
Answer: GCF of Numerators as per given numbers 6135/551, 7410/879 is
GCF of Numerators i.e. for 6135,7410 is 15
LCM of denominators i.e. for 551,879 is 484329.
Thus, GCF of Fractions is 15/484329.Finally, GCF of Fractions for 6135/551, 7410/879 is 15/484329.