Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8497/882,2671/6948
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 8497,2671
Greatest Common Factor of Numerators i.e. GCF of 8497,2671 is 1 .
LCM of Denominators means LCM of 882,6948 as per the given fractions.
LCM of 882,6948 is 340452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8497,2671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1,29,293,8497
Factors of 2671
List of positive integer factors of 2671 that divides 2671 without a remainder.
1,2671
Greatest Common Factor
We found the factors 8497,2671 . The biggest common factor number is the GCF number.
So the greatest common factor 8497,2671 is 1.
Lets's calculate LCM of 882,6948
2 | 882, 6948 |
3 | 441, 3474 |
3 | 147, 1158 |
49, 386 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 386 = 340452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340452
Therefore, the GCF of Fractions 8497/882,2671/6948 is 1/340452
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 882,6948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,6948) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(882,6948) x common factors =18 x 1 = 18
LCM(882,6948) = ( 882 × 6948 ) / 18
LCM(882,6948) = 6128136 / 18
LCM(882,6948) = 340452
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 8497/882, 2671/6948?
Answer: GCF of Numerators as per given numbers 8497/882, 2671/6948 is
GCF of Numerators i.e. for 8497,2671 is 1
LCM of denominators i.e. for 882,6948 is 340452.
Thus, GCF of Fractions is 1/340452.Finally, GCF of Fractions for 8497/882, 2671/6948 is 1/340452.