Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5441/125,9650/7305
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 5441,9650
Greatest Common Factor of Numerators i.e. GCF of 5441,9650 is 1 .
LCM of Denominators means LCM of 125,7305 as per the given fractions.
LCM of 125,7305 is 182625 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5441,9650
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5441
List of positive integer factors of 5441 that divides 5441 without a remainder.
1,5441
Factors of 9650
List of positive integer factors of 9650 that divides 9650 without a remainder.
1,2,5,10,25,50,193,386,965,1930,4825,9650
Greatest Common Factor
We found the factors 5441,9650 . The biggest common factor number is the GCF number.
So the greatest common factor 5441,9650 is 1.
Lets's calculate LCM of 125,7305
5 | 125, 7305 |
25, 1461 |
∴ So the LCM of the given numbers is 5 x 25 x 1461 = 182625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182625
Therefore, the GCF of Fractions 5441/125,9650/7305 is 1/182625
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 125,7305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,7305) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(125,7305) x common factors =5 x 1 = 5
LCM(125,7305) = ( 125 × 7305 ) / 5
LCM(125,7305) = 913125 / 5
LCM(125,7305) = 182625
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 5441/125, 9650/7305?
Answer: GCF of Numerators as per given numbers 5441/125, 9650/7305 is
GCF of Numerators i.e. for 5441,9650 is 1
LCM of denominators i.e. for 125,7305 is 182625.
Thus, GCF of Fractions is 1/182625.Finally, GCF of Fractions for 5441/125, 9650/7305 is 1/182625.