Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7699/20,2611/752
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 7699,2611
Greatest Common Factor of Numerators i.e. GCF of 7699,2611 is 1 .
LCM of Denominators means LCM of 20,752 as per the given fractions.
LCM of 20,752 is 3760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7699,2611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7699
List of positive integer factors of 7699 that divides 7699 without a remainder.
1,7699
Factors of 2611
List of positive integer factors of 2611 that divides 2611 without a remainder.
1,7,373,2611
Greatest Common Factor
We found the factors 7699,2611 . The biggest common factor number is the GCF number.
So the greatest common factor 7699,2611 is 1.
Lets's calculate LCM of 20,752
2 | 20, 752 |
2 | 10, 376 |
5, 188 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 188 = 3760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3760
Therefore, the GCF of Fractions 7699/20,2611/752 is 1/3760
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 20,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,752) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,752) x common factors =4 x 1 = 4
LCM(20,752) = ( 20 × 752 ) / 4
LCM(20,752) = 15040 / 4
LCM(20,752) = 3760
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 7699/20, 2611/752?
Answer: GCF of Numerators as per given numbers 7699/20, 2611/752 is
GCF of Numerators i.e. for 7699,2611 is 1
LCM of denominators i.e. for 20,752 is 3760.
Thus, GCF of Fractions is 1/3760.Finally, GCF of Fractions for 7699/20, 2611/752 is 1/3760.