Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8825/41,6990/921
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 8825,6990
Greatest Common Factor of Numerators i.e. GCF of 8825,6990 is 5 .
LCM of Denominators means LCM of 41,921 as per the given fractions.
LCM of 41,921 is 37761 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8825,6990
5 | 8825, 6990 |
1765, 1398 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8825
List of positive integer factors of 8825 that divides 8825 without a remainder.
1,5,25,353,1765,8825
Factors of 6990
List of positive integer factors of 6990 that divides 6990 without a remainder.
1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990
Greatest Common Factor
We found the factors 8825,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 8825,6990 is 5.
Lets's calculate LCM of 41,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 37761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37761
Therefore, the GCF of Fractions 8825/41,6990/921 is 5/37761
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 41,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,921) x common factors =1 x 1 = 1
LCM(41,921) = ( 41 × 921 ) / 1
LCM(41,921) = 37761 / 1
LCM(41,921) = 37761
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 8825/41, 6990/921?
Answer: GCF of Numerators as per given numbers 8825/41, 6990/921 is
GCF of Numerators i.e. for 8825,6990 is 5
LCM of denominators i.e. for 41,921 is 37761.
Thus, GCF of Fractions is 5/37761.Finally, GCF of Fractions for 8825/41, 6990/921 is 5/37761.