Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4317/341,7850/699
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 4317,7850
Greatest Common Factor of Numerators i.e. GCF of 4317,7850 is 1 .
LCM of Denominators means LCM of 341,699 as per the given fractions.
LCM of 341,699 is 238359 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4317,7850
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4317
List of positive integer factors of 4317 that divides 4317 without a remainder.
1,3,1439,4317
Factors of 7850
List of positive integer factors of 7850 that divides 7850 without a remainder.
1,2,5,10,25,50,157,314,785,1570,3925,7850
Greatest Common Factor
We found the factors 4317,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 4317,7850 is 1.
Lets's calculate LCM of 341,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 238359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238359
Therefore, the GCF of Fractions 4317/341,7850/699 is 1/238359
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 341,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,699) x common factors =1 x 1 = 1
LCM(341,699) = ( 341 × 699 ) / 1
LCM(341,699) = 238359 / 1
LCM(341,699) = 238359
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 4317/341, 7850/699?
Answer: GCF of Numerators as per given numbers 4317/341, 7850/699 is
GCF of Numerators i.e. for 4317,7850 is 1
LCM of denominators i.e. for 341,699 is 238359.
Thus, GCF of Fractions is 1/238359.Finally, GCF of Fractions for 4317/341, 7850/699 is 1/238359.