Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/99,666/4618
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 448,666
Greatest Common Factor of Numerators i.e. GCF of 448,666 is 2 .
LCM of Denominators means LCM of 99,4618 as per the given fractions.
LCM of 99,4618 is 457182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 448,666
2 | 448, 666 |
224, 333 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 448,666 . The biggest common factor number is the GCF number.
So the greatest common factor 448,666 is 2.
Lets's calculate LCM of 99,4618
Given numbers has no common factors except 1. So, there LCM is their product i.e 457182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/457182
Therefore, the GCF of Fractions 448/99,666/4618 is 2/457182
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 99,4618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,4618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,4618) x common factors =1 x 1 = 1
LCM(99,4618) = ( 99 × 4618 ) / 1
LCM(99,4618) = 457182 / 1
LCM(99,4618) = 457182
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 448/99, 666/4618?
Answer: GCF of Numerators as per given numbers 448/99, 666/4618 is
GCF of Numerators i.e. for 448,666 is 2
LCM of denominators i.e. for 99,4618 is 457182.
Thus, GCF of Fractions is 2/457182.Finally, GCF of Fractions for 448/99, 666/4618 is 2/457182.