Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9705/207,4382/229
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 9705,4382
Greatest Common Factor of Numerators i.e. GCF of 9705,4382 is 1 .
LCM of Denominators means LCM of 207,229 as per the given fractions.
LCM of 207,229 is 47403 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9705,4382
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9705
List of positive integer factors of 9705 that divides 9705 without a remainder.
1,3,5,15,647,1941,3235,9705
Factors of 4382
List of positive integer factors of 4382 that divides 4382 without a remainder.
1,2,7,14,313,626,2191,4382
Greatest Common Factor
We found the factors 9705,4382 . The biggest common factor number is the GCF number.
So the greatest common factor 9705,4382 is 1.
Lets's calculate LCM of 207,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 47403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47403
Therefore, the GCF of Fractions 9705/207,4382/229 is 1/47403
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 207,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,229) x common factors =1 x 1 = 1
LCM(207,229) = ( 207 × 229 ) / 1
LCM(207,229) = 47403 / 1
LCM(207,229) = 47403
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 9705/207, 4382/229?
Answer: GCF of Numerators as per given numbers 9705/207, 4382/229 is
GCF of Numerators i.e. for 9705,4382 is 1
LCM of denominators i.e. for 207,229 is 47403.
Thus, GCF of Fractions is 1/47403.Finally, GCF of Fractions for 9705/207, 4382/229 is 1/47403.