Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2272/83,9200/903
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 2272,9200
Greatest Common Factor of Numerators i.e. GCF of 2272,9200 is 16 .
LCM of Denominators means LCM of 83,903 as per the given fractions.
LCM of 83,903 is 74949 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2272,9200
2 | 2272, 9200 |
2 | 1136, 4600 |
2 | 568, 2300 |
2 | 284, 1150 |
142, 575 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 2272
List of positive integer factors of 2272 that divides 2272 without a remainder.
1,2,4,8,16,32,71,142,284,568,1136,2272
Factors of 9200
List of positive integer factors of 9200 that divides 9200 without a remainder.
1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200
Greatest Common Factor
We found the factors 2272,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 2272,9200 is 16.
Lets's calculate LCM of 83,903
Given numbers has no common factors except 1. So, there LCM is their product i.e 74949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/74949
Therefore, the GCF of Fractions 2272/83,9200/903 is 16/74949
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 83,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,903) x common factors =1 x 1 = 1
LCM(83,903) = ( 83 × 903 ) / 1
LCM(83,903) = 74949 / 1
LCM(83,903) = 74949
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 2272/83, 9200/903?
Answer: GCF of Numerators as per given numbers 2272/83, 9200/903 is
GCF of Numerators i.e. for 2272,9200 is 16
LCM of denominators i.e. for 83,903 is 74949.
Thus, GCF of Fractions is 16/74949.Finally, GCF of Fractions for 2272/83, 9200/903 is 16/74949.