Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7925/665,8966/8508
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 7925,8966
Greatest Common Factor of Numerators i.e. GCF of 7925,8966 is 1 .
LCM of Denominators means LCM of 665,8508 as per the given fractions.
LCM of 665,8508 is 5657820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7925,8966
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7925
List of positive integer factors of 7925 that divides 7925 without a remainder.
1,5,25,317,1585,7925
Factors of 8966
List of positive integer factors of 8966 that divides 8966 without a remainder.
1,2,4483,8966
Greatest Common Factor
We found the factors 7925,8966 . The biggest common factor number is the GCF number.
So the greatest common factor 7925,8966 is 1.
Lets's calculate LCM of 665,8508
Given numbers has no common factors except 1. So, there LCM is their product i.e 5657820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5657820
Therefore, the GCF of Fractions 7925/665,8966/8508 is 1/5657820
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 665,8508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,8508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,8508) x common factors =1 x 1 = 1
LCM(665,8508) = ( 665 × 8508 ) / 1
LCM(665,8508) = 5657820 / 1
LCM(665,8508) = 5657820
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 7925/665, 8966/8508?
Answer: GCF of Numerators as per given numbers 7925/665, 8966/8508 is
GCF of Numerators i.e. for 7925,8966 is 1
LCM of denominators i.e. for 665,8508 is 5657820.
Thus, GCF of Fractions is 1/5657820.Finally, GCF of Fractions for 7925/665, 8966/8508 is 1/5657820.