Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7679/219,7913/1827
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 7679,7913
Greatest Common Factor of Numerators i.e. GCF of 7679,7913 is 1 .
LCM of Denominators means LCM of 219,1827 as per the given fractions.
LCM of 219,1827 is 133371 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7679,7913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7679
List of positive integer factors of 7679 that divides 7679 without a remainder.
1,7,1097,7679
Factors of 7913
List of positive integer factors of 7913 that divides 7913 without a remainder.
1,41,193,7913
Greatest Common Factor
We found the factors 7679,7913 . The biggest common factor number is the GCF number.
So the greatest common factor 7679,7913 is 1.
Lets's calculate LCM of 219,1827
3 | 219, 1827 |
73, 609 |
∴ So the LCM of the given numbers is 3 x 73 x 609 = 133371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133371
Therefore, the GCF of Fractions 7679/219,7913/1827 is 1/133371
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 219,1827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,1827) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,1827) x common factors =3 x 1 = 3
LCM(219,1827) = ( 219 × 1827 ) / 3
LCM(219,1827) = 400113 / 3
LCM(219,1827) = 133371
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 7679/219, 7913/1827?
Answer: GCF of Numerators as per given numbers 7679/219, 7913/1827 is
GCF of Numerators i.e. for 7679,7913 is 1
LCM of denominators i.e. for 219,1827 is 133371.
Thus, GCF of Fractions is 1/133371.Finally, GCF of Fractions for 7679/219, 7913/1827 is 1/133371.