Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8795/91,7165/353
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 8795,7165
Greatest Common Factor of Numerators i.e. GCF of 8795,7165 is 5 .
LCM of Denominators means LCM of 91,353 as per the given fractions.
LCM of 91,353 is 32123 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8795,7165
5 | 8795, 7165 |
1759, 1433 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8795
List of positive integer factors of 8795 that divides 8795 without a remainder.
1,5,1759,8795
Factors of 7165
List of positive integer factors of 7165 that divides 7165 without a remainder.
1,5,1433,7165
Greatest Common Factor
We found the factors 8795,7165 . The biggest common factor number is the GCF number.
So the greatest common factor 8795,7165 is 5.
Lets's calculate LCM of 91,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 32123
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/32123
Therefore, the GCF of Fractions 8795/91,7165/353 is 5/32123
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 91,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,353) x common factors =1 x 1 = 1
LCM(91,353) = ( 91 × 353 ) / 1
LCM(91,353) = 32123 / 1
LCM(91,353) = 32123
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 8795/91, 7165/353?
Answer: GCF of Numerators as per given numbers 8795/91, 7165/353 is
GCF of Numerators i.e. for 8795,7165 is 5
LCM of denominators i.e. for 91,353 is 32123.
Thus, GCF of Fractions is 5/32123.Finally, GCF of Fractions for 8795/91, 7165/353 is 5/32123.