Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4423/127,1979/910
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 4423,1979
Greatest Common Factor of Numerators i.e. GCF of 4423,1979 is 1 .
LCM of Denominators means LCM of 127,910 as per the given fractions.
LCM of 127,910 is 115570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4423,1979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4423
List of positive integer factors of 4423 that divides 4423 without a remainder.
1,4423
Factors of 1979
List of positive integer factors of 1979 that divides 1979 without a remainder.
1,1979
Greatest Common Factor
We found the factors 4423,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 4423,1979 is 1.
Lets's calculate LCM of 127,910
Given numbers has no common factors except 1. So, there LCM is their product i.e 115570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115570
Therefore, the GCF of Fractions 4423/127,1979/910 is 1/115570
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 127,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,910) x common factors =1 x 1 = 1
LCM(127,910) = ( 127 × 910 ) / 1
LCM(127,910) = 115570 / 1
LCM(127,910) = 115570
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 4423/127, 1979/910?
Answer: GCF of Numerators as per given numbers 4423/127, 1979/910 is
GCF of Numerators i.e. for 4423,1979 is 1
LCM of denominators i.e. for 127,910 is 115570.
Thus, GCF of Fractions is 1/115570.Finally, GCF of Fractions for 4423/127, 1979/910 is 1/115570.