Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9296/94,1728/473
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 9296,1728
Greatest Common Factor of Numerators i.e. GCF of 9296,1728 is 16 .
LCM of Denominators means LCM of 94,473 as per the given fractions.
LCM of 94,473 is 44462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9296,1728
2 | 9296, 1728 |
2 | 4648, 864 |
2 | 2324, 432 |
2 | 1162, 216 |
581, 108 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 9296
List of positive integer factors of 9296 that divides 9296 without a remainder.
1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296
Factors of 1728
List of positive integer factors of 1728 that divides 1728 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728
Greatest Common Factor
We found the factors 9296,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 9296,1728 is 16.
Lets's calculate LCM of 94,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 44462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/44462
Therefore, the GCF of Fractions 9296/94,1728/473 is 16/44462
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 94,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,473) x common factors =1 x 1 = 1
LCM(94,473) = ( 94 × 473 ) / 1
LCM(94,473) = 44462 / 1
LCM(94,473) = 44462
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 9296/94, 1728/473?
Answer: GCF of Numerators as per given numbers 9296/94, 1728/473 is
GCF of Numerators i.e. for 9296,1728 is 16
LCM of denominators i.e. for 94,473 is 44462.
Thus, GCF of Fractions is 16/44462.Finally, GCF of Fractions for 9296/94, 1728/473 is 16/44462.