Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7561/20,9563/625
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 7561,9563
Greatest Common Factor of Numerators i.e. GCF of 7561,9563 is 1 .
LCM of Denominators means LCM of 20,625 as per the given fractions.
LCM of 20,625 is 2500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7561,9563
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7561
List of positive integer factors of 7561 that divides 7561 without a remainder.
1,7561
Factors of 9563
List of positive integer factors of 9563 that divides 9563 without a remainder.
1,73,131,9563
Greatest Common Factor
We found the factors 7561,9563 . The biggest common factor number is the GCF number.
So the greatest common factor 7561,9563 is 1.
Lets's calculate LCM of 20,625
5 | 20, 625 |
4, 125 |
∴ So the LCM of the given numbers is 5 x 4 x 125 = 2500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2500
Therefore, the GCF of Fractions 7561/20,9563/625 is 1/2500
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 20,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,625) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,625) x common factors =5 x 1 = 5
LCM(20,625) = ( 20 × 625 ) / 5
LCM(20,625) = 12500 / 5
LCM(20,625) = 2500
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 7561/20, 9563/625?
Answer: GCF of Numerators as per given numbers 7561/20, 9563/625 is
GCF of Numerators i.e. for 7561,9563 is 1
LCM of denominators i.e. for 20,625 is 2500.
Thus, GCF of Fractions is 1/2500.Finally, GCF of Fractions for 7561/20, 9563/625 is 1/2500.