Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7870/914,4162/321
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 7870,4162
Greatest Common Factor of Numerators i.e. GCF of 7870,4162 is 2 .
LCM of Denominators means LCM of 914,321 as per the given fractions.
LCM of 914,321 is 293394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7870,4162
2 | 7870, 4162 |
3935, 2081 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7870
List of positive integer factors of 7870 that divides 7870 without a remainder.
1,2,5,10,787,1574,3935,7870
Factors of 4162
List of positive integer factors of 4162 that divides 4162 without a remainder.
1,2,2081,4162
Greatest Common Factor
We found the factors 7870,4162 . The biggest common factor number is the GCF number.
So the greatest common factor 7870,4162 is 2.
Lets's calculate LCM of 914,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 293394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/293394
Therefore, the GCF of Fractions 7870/914,4162/321 is 2/293394
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 914,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,321) x common factors =1 x 1 = 1
LCM(914,321) = ( 914 × 321 ) / 1
LCM(914,321) = 293394 / 1
LCM(914,321) = 293394
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 7870/914, 4162/321?
Answer: GCF of Numerators as per given numbers 7870/914, 4162/321 is
GCF of Numerators i.e. for 7870,4162 is 2
LCM of denominators i.e. for 914,321 is 293394.
Thus, GCF of Fractions is 2/293394.Finally, GCF of Fractions for 7870/914, 4162/321 is 2/293394.