Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7693/45,5932/151
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 7693,5932
Greatest Common Factor of Numerators i.e. GCF of 7693,5932 is 1 .
LCM of Denominators means LCM of 45,151 as per the given fractions.
LCM of 45,151 is 6795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7693,5932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7693
List of positive integer factors of 7693 that divides 7693 without a remainder.
1,7,49,157,1099,7693
Factors of 5932
List of positive integer factors of 5932 that divides 5932 without a remainder.
1,2,4,1483,2966,5932
Greatest Common Factor
We found the factors 7693,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 7693,5932 is 1.
Lets's calculate LCM of 45,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 6795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6795
Therefore, the GCF of Fractions 7693/45,5932/151 is 1/6795
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 45,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,151) x common factors =1 x 1 = 1
LCM(45,151) = ( 45 × 151 ) / 1
LCM(45,151) = 6795 / 1
LCM(45,151) = 6795
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 7693/45, 5932/151?
Answer: GCF of Numerators as per given numbers 7693/45, 5932/151 is
GCF of Numerators i.e. for 7693,5932 is 1
LCM of denominators i.e. for 45,151 is 6795.
Thus, GCF of Fractions is 1/6795.Finally, GCF of Fractions for 7693/45, 5932/151 is 1/6795.