Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 643/879,1414/807
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 643,1414
Greatest Common Factor of Numerators i.e. GCF of 643,1414 is 1 .
LCM of Denominators means LCM of 879,807 as per the given fractions.
LCM of 879,807 is 236451 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 643,1414
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Factors of 1414
List of positive integer factors of 1414 that divides 1414 without a remainder.
1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 643,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 643,1414 is 1.
Lets's calculate LCM of 879,807
3 | 879, 807 |
293, 269 |
∴ So the LCM of the given numbers is 3 x 293 x 269 = 236451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236451
Therefore, the GCF of Fractions 643/879,1414/807 is 1/236451
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 879,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,807) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,807) x common factors =3 x 1 = 3
LCM(879,807) = ( 879 × 807 ) / 3
LCM(879,807) = 709353 / 3
LCM(879,807) = 236451
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 643/879, 1414/807?
Answer: GCF of Numerators as per given numbers 643/879, 1414/807 is
GCF of Numerators i.e. for 643,1414 is 1
LCM of denominators i.e. for 879,807 is 236451.
Thus, GCF of Fractions is 1/236451.Finally, GCF of Fractions for 643/879, 1414/807 is 1/236451.