Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8803/768,2617/147
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 8803,2617
Greatest Common Factor of Numerators i.e. GCF of 8803,2617 is 1 .
LCM of Denominators means LCM of 768,147 as per the given fractions.
LCM of 768,147 is 37632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8803,2617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8803
List of positive integer factors of 8803 that divides 8803 without a remainder.
1,8803
Factors of 2617
List of positive integer factors of 2617 that divides 2617 without a remainder.
1,2617
Greatest Common Factor
We found the factors 8803,2617 . The biggest common factor number is the GCF number.
So the greatest common factor 8803,2617 is 1.
Lets's calculate LCM of 768,147
3 | 768, 147 |
256, 49 |
∴ So the LCM of the given numbers is 3 x 256 x 49 = 37632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37632
Therefore, the GCF of Fractions 8803/768,2617/147 is 1/37632
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 768,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,147) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(768,147) x common factors =3 x 1 = 3
LCM(768,147) = ( 768 × 147 ) / 3
LCM(768,147) = 112896 / 3
LCM(768,147) = 37632
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 8803/768, 2617/147?
Answer: GCF of Numerators as per given numbers 8803/768, 2617/147 is
GCF of Numerators i.e. for 8803,2617 is 1
LCM of denominators i.e. for 768,147 is 37632.
Thus, GCF of Fractions is 1/37632.Finally, GCF of Fractions for 8803/768, 2617/147 is 1/37632.