Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/995,3175/1791
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 952,3175
Greatest Common Factor of Numerators i.e. GCF of 952,3175 is 1 .
LCM of Denominators means LCM of 995,1791 as per the given fractions.
LCM of 995,1791 is 8955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,3175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 3175
List of positive integer factors of 3175 that divides 3175 without a remainder.
1,5,25,127,635,3175
Greatest Common Factor
We found the factors 952,3175 . The biggest common factor number is the GCF number.
So the greatest common factor 952,3175 is 1.
Lets's calculate LCM of 995,1791
199 | 995, 1791 |
5, 9 |
∴ So the LCM of the given numbers is 199 x 5 x 9 = 8955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8955
Therefore, the GCF of Fractions 952/995,3175/1791 is 1/8955
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 995,1791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,1791) = 199
common factors(in case of two or more numbers have common factors) = 1
GCF(995,1791) x common factors =199 x 1 = 199
LCM(995,1791) = ( 995 × 1791 ) / 199
LCM(995,1791) = 1782045 / 199
LCM(995,1791) = 8955
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 952/995, 3175/1791?
Answer: GCF of Numerators as per given numbers 952/995, 3175/1791 is
GCF of Numerators i.e. for 952,3175 is 1
LCM of denominators i.e. for 995,1791 is 8955.
Thus, GCF of Fractions is 1/8955.Finally, GCF of Fractions for 952/995, 3175/1791 is 1/8955.