Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5110/743,5041/213
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 5110,5041
Greatest Common Factor of Numerators i.e. GCF of 5110,5041 is 1 .
LCM of Denominators means LCM of 743,213 as per the given fractions.
LCM of 743,213 is 158259 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5110,5041
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5110
List of positive integer factors of 5110 that divides 5110 without a remainder.
1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110
Factors of 5041
List of positive integer factors of 5041 that divides 5041 without a remainder.
1,71,5041
Greatest Common Factor
We found the factors 5110,5041 . The biggest common factor number is the GCF number.
So the greatest common factor 5110,5041 is 1.
Lets's calculate LCM of 743,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 158259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158259
Therefore, the GCF of Fractions 5110/743,5041/213 is 1/158259
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 743,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,213) x common factors =1 x 1 = 1
LCM(743,213) = ( 743 × 213 ) / 1
LCM(743,213) = 158259 / 1
LCM(743,213) = 158259
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 5110/743, 5041/213?
Answer: GCF of Numerators as per given numbers 5110/743, 5041/213 is
GCF of Numerators i.e. for 5110,5041 is 1
LCM of denominators i.e. for 743,213 is 158259.
Thus, GCF of Fractions is 1/158259.Finally, GCF of Fractions for 5110/743, 5041/213 is 1/158259.