Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8841/11,6969/250
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 8841,6969
Greatest Common Factor of Numerators i.e. GCF of 8841,6969 is 3 .
LCM of Denominators means LCM of 11,250 as per the given fractions.
LCM of 11,250 is 2750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8841,6969
3 | 8841, 6969 |
2947, 2323 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8841
List of positive integer factors of 8841 that divides 8841 without a remainder.
1,3,7,21,421,1263,2947,8841
Factors of 6969
List of positive integer factors of 6969 that divides 6969 without a remainder.
1,3,23,69,101,303,2323,6969
Greatest Common Factor
We found the factors 8841,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 8841,6969 is 3.
Lets's calculate LCM of 11,250
Given numbers has no common factors except 1. So, there LCM is their product i.e 2750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2750
Therefore, the GCF of Fractions 8841/11,6969/250 is 3/2750
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 11,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,250) x common factors =1 x 1 = 1
LCM(11,250) = ( 11 × 250 ) / 1
LCM(11,250) = 2750 / 1
LCM(11,250) = 2750
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 8841/11, 6969/250?
Answer: GCF of Numerators as per given numbers 8841/11, 6969/250 is
GCF of Numerators i.e. for 8841,6969 is 3
LCM of denominators i.e. for 11,250 is 2750.
Thus, GCF of Fractions is 3/2750.Finally, GCF of Fractions for 8841/11, 6969/250 is 3/2750.