Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9896/996,4055/545
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 9896,4055
Greatest Common Factor of Numerators i.e. GCF of 9896,4055 is 1 .
LCM of Denominators means LCM of 996,545 as per the given fractions.
LCM of 996,545 is 542820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9896,4055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9896
List of positive integer factors of 9896 that divides 9896 without a remainder.
1,2,4,8,1237,2474,4948,9896
Factors of 4055
List of positive integer factors of 4055 that divides 4055 without a remainder.
1,5,811,4055
Greatest Common Factor
We found the factors 9896,4055 . The biggest common factor number is the GCF number.
So the greatest common factor 9896,4055 is 1.
Lets's calculate LCM of 996,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 542820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/542820
Therefore, the GCF of Fractions 9896/996,4055/545 is 1/542820
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 996,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,545) x common factors =1 x 1 = 1
LCM(996,545) = ( 996 × 545 ) / 1
LCM(996,545) = 542820 / 1
LCM(996,545) = 542820
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 9896/996, 4055/545?
Answer: GCF of Numerators as per given numbers 9896/996, 4055/545 is
GCF of Numerators i.e. for 9896,4055 is 1
LCM of denominators i.e. for 996,545 is 542820.
Thus, GCF of Fractions is 1/542820.Finally, GCF of Fractions for 9896/996, 4055/545 is 1/542820.