Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7979/555,9135/6424
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 7979,9135
Greatest Common Factor of Numerators i.e. GCF of 7979,9135 is 1 .
LCM of Denominators means LCM of 555,6424 as per the given fractions.
LCM of 555,6424 is 3565320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7979,9135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7979
List of positive integer factors of 7979 that divides 7979 without a remainder.
1,79,101,7979
Factors of 9135
List of positive integer factors of 9135 that divides 9135 without a remainder.
1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Greatest Common Factor
We found the factors 7979,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 7979,9135 is 1.
Lets's calculate LCM of 555,6424
Given numbers has no common factors except 1. So, there LCM is their product i.e 3565320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3565320
Therefore, the GCF of Fractions 7979/555,9135/6424 is 1/3565320
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 555,6424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,6424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,6424) x common factors =1 x 1 = 1
LCM(555,6424) = ( 555 × 6424 ) / 1
LCM(555,6424) = 3565320 / 1
LCM(555,6424) = 3565320
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 7979/555, 9135/6424?
Answer: GCF of Numerators as per given numbers 7979/555, 9135/6424 is
GCF of Numerators i.e. for 7979,9135 is 1
LCM of denominators i.e. for 555,6424 is 3565320.
Thus, GCF of Fractions is 1/3565320.Finally, GCF of Fractions for 7979/555, 9135/6424 is 1/3565320.