Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5633/451,1498/4103
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 5633,1498
Greatest Common Factor of Numerators i.e. GCF of 5633,1498 is 1 .
LCM of Denominators means LCM of 451,4103 as per the given fractions.
LCM of 451,4103 is 168223 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5633,1498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5633
List of positive integer factors of 5633 that divides 5633 without a remainder.
1,43,131,5633
Factors of 1498
List of positive integer factors of 1498 that divides 1498 without a remainder.
1,2,7,14,107,214,749,1498
Greatest Common Factor
We found the factors 5633,1498 . The biggest common factor number is the GCF number.
So the greatest common factor 5633,1498 is 1.
Lets's calculate LCM of 451,4103
11 | 451, 4103 |
41, 373 |
∴ So the LCM of the given numbers is 11 x 41 x 373 = 168223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168223
Therefore, the GCF of Fractions 5633/451,1498/4103 is 1/168223
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 451,4103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,4103) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(451,4103) x common factors =11 x 1 = 11
LCM(451,4103) = ( 451 × 4103 ) / 11
LCM(451,4103) = 1850453 / 11
LCM(451,4103) = 168223
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 5633/451, 1498/4103?
Answer: GCF of Numerators as per given numbers 5633/451, 1498/4103 is
GCF of Numerators i.e. for 5633,1498 is 1
LCM of denominators i.e. for 451,4103 is 168223.
Thus, GCF of Fractions is 1/168223.Finally, GCF of Fractions for 5633/451, 1498/4103 is 1/168223.