Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5703/673,4035/862
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 5703,4035
Greatest Common Factor of Numerators i.e. GCF of 5703,4035 is 3 .
LCM of Denominators means LCM of 673,862 as per the given fractions.
LCM of 673,862 is 580126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5703,4035
3 | 5703, 4035 |
1901, 1345 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5703
List of positive integer factors of 5703 that divides 5703 without a remainder.
1,3,1901,5703
Factors of 4035
List of positive integer factors of 4035 that divides 4035 without a remainder.
1,3,5,15,269,807,1345,4035
Greatest Common Factor
We found the factors 5703,4035 . The biggest common factor number is the GCF number.
So the greatest common factor 5703,4035 is 3.
Lets's calculate LCM of 673,862
Given numbers has no common factors except 1. So, there LCM is their product i.e 580126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/580126
Therefore, the GCF of Fractions 5703/673,4035/862 is 3/580126
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 673,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,862) x common factors =1 x 1 = 1
LCM(673,862) = ( 673 × 862 ) / 1
LCM(673,862) = 580126 / 1
LCM(673,862) = 580126
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 5703/673, 4035/862?
Answer: GCF of Numerators as per given numbers 5703/673, 4035/862 is
GCF of Numerators i.e. for 5703,4035 is 3
LCM of denominators i.e. for 673,862 is 580126.
Thus, GCF of Fractions is 3/580126.Finally, GCF of Fractions for 5703/673, 4035/862 is 3/580126.