Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3558/694,7956/965
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 3558,7956
Greatest Common Factor of Numerators i.e. GCF of 3558,7956 is 6 .
LCM of Denominators means LCM of 694,965 as per the given fractions.
LCM of 694,965 is 669710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3558,7956
2 | 3558, 7956 |
3 | 1779, 3978 |
593, 1326 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 3558
List of positive integer factors of 3558 that divides 3558 without a remainder.
1,2,3,6,593,1186,1779,3558
Factors of 7956
List of positive integer factors of 7956 that divides 7956 without a remainder.
1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Greatest Common Factor
We found the factors 3558,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 3558,7956 is 6.
Lets's calculate LCM of 694,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 669710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/669710
Therefore, the GCF of Fractions 3558/694,7956/965 is 6/669710
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 694,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(694,965) x common factors =1 x 1 = 1
LCM(694,965) = ( 694 × 965 ) / 1
LCM(694,965) = 669710 / 1
LCM(694,965) = 669710
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 3558/694, 7956/965?
Answer: GCF of Numerators as per given numbers 3558/694, 7956/965 is
GCF of Numerators i.e. for 3558,7956 is 6
LCM of denominators i.e. for 694,965 is 669710.
Thus, GCF of Fractions is 6/669710.Finally, GCF of Fractions for 3558/694, 7956/965 is 6/669710.