Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 304/81,352/4400
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 304,352
Greatest Common Factor of Numerators i.e. GCF of 304,352 is 16 .
LCM of Denominators means LCM of 81,4400 as per the given fractions.
LCM of 81,4400 is 356400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 304,352
2 | 304, 352 |
2 | 152, 176 |
2 | 76, 88 |
2 | 38, 44 |
19, 22 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 304,352 . The biggest common factor number is the GCF number.
So the greatest common factor 304,352 is 16.
Lets's calculate LCM of 81,4400
Given numbers has no common factors except 1. So, there LCM is their product i.e 356400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/356400
Therefore, the GCF of Fractions 304/81,352/4400 is 16/356400
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 81,4400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,4400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,4400) x common factors =1 x 1 = 1
LCM(81,4400) = ( 81 × 4400 ) / 1
LCM(81,4400) = 356400 / 1
LCM(81,4400) = 356400
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 304/81, 352/4400?
Answer: GCF of Numerators as per given numbers 304/81, 352/4400 is
GCF of Numerators i.e. for 304,352 is 16
LCM of denominators i.e. for 81,4400 is 356400.
Thus, GCF of Fractions is 16/356400.Finally, GCF of Fractions for 304/81, 352/4400 is 16/356400.