Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7063/39,9466/597
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 7063,9466
Greatest Common Factor of Numerators i.e. GCF of 7063,9466 is 1 .
LCM of Denominators means LCM of 39,597 as per the given fractions.
LCM of 39,597 is 7761 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7063,9466
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7063
List of positive integer factors of 7063 that divides 7063 without a remainder.
1,7,1009,7063
Factors of 9466
List of positive integer factors of 9466 that divides 9466 without a remainder.
1,2,4733,9466
Greatest Common Factor
We found the factors 7063,9466 . The biggest common factor number is the GCF number.
So the greatest common factor 7063,9466 is 1.
Lets's calculate LCM of 39,597
3 | 39, 597 |
13, 199 |
∴ So the LCM of the given numbers is 3 x 13 x 199 = 7761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7761
Therefore, the GCF of Fractions 7063/39,9466/597 is 1/7761
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 39,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,597) x common factors =3 x 1 = 3
LCM(39,597) = ( 39 × 597 ) / 3
LCM(39,597) = 23283 / 3
LCM(39,597) = 7761
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 7063/39, 9466/597?
Answer: GCF of Numerators as per given numbers 7063/39, 9466/597 is
GCF of Numerators i.e. for 7063,9466 is 1
LCM of denominators i.e. for 39,597 is 7761.
Thus, GCF of Fractions is 1/7761.Finally, GCF of Fractions for 7063/39, 9466/597 is 1/7761.