Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9983/69,3304/877
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 9983,3304
Greatest Common Factor of Numerators i.e. GCF of 9983,3304 is 1 .
LCM of Denominators means LCM of 69,877 as per the given fractions.
LCM of 69,877 is 60513 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9983,3304
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9983
List of positive integer factors of 9983 that divides 9983 without a remainder.
1,67,149,9983
Factors of 3304
List of positive integer factors of 3304 that divides 3304 without a remainder.
1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Greatest Common Factor
We found the factors 9983,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 9983,3304 is 1.
Lets's calculate LCM of 69,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 60513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60513
Therefore, the GCF of Fractions 9983/69,3304/877 is 1/60513
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 69,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,877) x common factors =1 x 1 = 1
LCM(69,877) = ( 69 × 877 ) / 1
LCM(69,877) = 60513 / 1
LCM(69,877) = 60513
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 9983/69, 3304/877?
Answer: GCF of Numerators as per given numbers 9983/69, 3304/877 is
GCF of Numerators i.e. for 9983,3304 is 1
LCM of denominators i.e. for 69,877 is 60513.
Thus, GCF of Fractions is 1/60513.Finally, GCF of Fractions for 9983/69, 3304/877 is 1/60513.