Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 460/7112,862/7143
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 460,862
Greatest Common Factor of Numerators i.e. GCF of 460,862 is 2 .
LCM of Denominators means LCM of 7112,7143 as per the given fractions.
LCM of 7112,7143 is 50801016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 460,862
2 | 460, 862 |
230, 431 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 460,862 . The biggest common factor number is the GCF number.
So the greatest common factor 460,862 is 2.
Lets's calculate LCM of 7112,7143
Given numbers has no common factors except 1. So, there LCM is their product i.e 50801016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50801016
Therefore, the GCF of Fractions 460/7112,862/7143 is 2/50801016
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 7112,7143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7112,7143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7112,7143) x common factors =1 x 1 = 1
LCM(7112,7143) = ( 7112 × 7143 ) / 1
LCM(7112,7143) = 50801016 / 1
LCM(7112,7143) = 50801016
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 460/7112, 862/7143?
Answer: GCF of Numerators as per given numbers 460/7112, 862/7143 is
GCF of Numerators i.e. for 460,862 is 2
LCM of denominators i.e. for 7112,7143 is 50801016.
Thus, GCF of Fractions is 2/50801016.Finally, GCF of Fractions for 460/7112, 862/7143 is 2/50801016.