Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 113/966,2015/752
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 113,2015
Greatest Common Factor of Numerators i.e. GCF of 113,2015 is 1 .
LCM of Denominators means LCM of 966,752 as per the given fractions.
LCM of 966,752 is 363216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 113,2015
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 2015
List of positive integer factors of 2015 that divides 2015 without a remainder.
1,5,13,31,65,155,403,2015
Greatest Common Factor
We found the factors 113,2015 . The biggest common factor number is the GCF number.
So the greatest common factor 113,2015 is 1.
Lets's calculate LCM of 966,752
2 | 966, 752 |
483, 376 |
∴ So the LCM of the given numbers is 2 x 483 x 376 = 363216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363216
Therefore, the GCF of Fractions 113/966,2015/752 is 1/363216
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 966,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,752) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,752) x common factors =2 x 1 = 2
LCM(966,752) = ( 966 × 752 ) / 2
LCM(966,752) = 726432 / 2
LCM(966,752) = 363216
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 113/966, 2015/752?
Answer: GCF of Numerators as per given numbers 113/966, 2015/752 is
GCF of Numerators i.e. for 113,2015 is 1
LCM of denominators i.e. for 966,752 is 363216.
Thus, GCF of Fractions is 1/363216.Finally, GCF of Fractions for 113/966, 2015/752 is 1/363216.