Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4725/18,7591/122
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 4725,7591
Greatest Common Factor of Numerators i.e. GCF of 4725,7591 is 1 .
LCM of Denominators means LCM of 18,122 as per the given fractions.
LCM of 18,122 is 1098 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4725,7591
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4725
List of positive integer factors of 4725 that divides 4725 without a remainder.
1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725
Factors of 7591
List of positive integer factors of 7591 that divides 7591 without a remainder.
1,7591
Greatest Common Factor
We found the factors 4725,7591 . The biggest common factor number is the GCF number.
So the greatest common factor 4725,7591 is 1.
Lets's calculate LCM of 18,122
2 | 18, 122 |
9, 61 |
∴ So the LCM of the given numbers is 2 x 9 x 61 = 1098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1098
Therefore, the GCF of Fractions 4725/18,7591/122 is 1/1098
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 18,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,122) x common factors =2 x 1 = 2
LCM(18,122) = ( 18 × 122 ) / 2
LCM(18,122) = 2196 / 2
LCM(18,122) = 1098
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 4725/18, 7591/122?
Answer: GCF of Numerators as per given numbers 4725/18, 7591/122 is
GCF of Numerators i.e. for 4725,7591 is 1
LCM of denominators i.e. for 18,122 is 1098.
Thus, GCF of Fractions is 1/1098.Finally, GCF of Fractions for 4725/18, 7591/122 is 1/1098.