Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/414,7859/867
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 411,7859
Greatest Common Factor of Numerators i.e. GCF of 411,7859 is 1 .
LCM of Denominators means LCM of 414,867 as per the given fractions.
LCM of 414,867 is 119646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 411,7859
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 7859
List of positive integer factors of 7859 that divides 7859 without a remainder.
1,29,271,7859
Greatest Common Factor
We found the factors 411,7859 . The biggest common factor number is the GCF number.
So the greatest common factor 411,7859 is 1.
Lets's calculate LCM of 414,867
3 | 414, 867 |
138, 289 |
∴ So the LCM of the given numbers is 3 x 138 x 289 = 119646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119646
Therefore, the GCF of Fractions 411/414,7859/867 is 1/119646
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 414,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(414,867) x common factors =3 x 1 = 3
LCM(414,867) = ( 414 × 867 ) / 3
LCM(414,867) = 358938 / 3
LCM(414,867) = 119646
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 411/414, 7859/867?
Answer: GCF of Numerators as per given numbers 411/414, 7859/867 is
GCF of Numerators i.e. for 411,7859 is 1
LCM of denominators i.e. for 414,867 is 119646.
Thus, GCF of Fractions is 1/119646.Finally, GCF of Fractions for 411/414, 7859/867 is 1/119646.