Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6112/154,5895/1352
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 6112,5895
Greatest Common Factor of Numerators i.e. GCF of 6112,5895 is 1 .
LCM of Denominators means LCM of 154,1352 as per the given fractions.
LCM of 154,1352 is 104104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6112,5895
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6112
List of positive integer factors of 6112 that divides 6112 without a remainder.
1,2,4,8,16,32,191,382,764,1528,3056,6112
Factors of 5895
List of positive integer factors of 5895 that divides 5895 without a remainder.
1,3,5,9,15,45,131,393,655,1179,1965,5895
Greatest Common Factor
We found the factors 6112,5895 . The biggest common factor number is the GCF number.
So the greatest common factor 6112,5895 is 1.
Lets's calculate LCM of 154,1352
2 | 154, 1352 |
77, 676 |
∴ So the LCM of the given numbers is 2 x 77 x 676 = 104104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104104
Therefore, the GCF of Fractions 6112/154,5895/1352 is 1/104104
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 154,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,1352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,1352) x common factors =2 x 1 = 2
LCM(154,1352) = ( 154 × 1352 ) / 2
LCM(154,1352) = 208208 / 2
LCM(154,1352) = 104104
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 6112/154, 5895/1352?
Answer: GCF of Numerators as per given numbers 6112/154, 5895/1352 is
GCF of Numerators i.e. for 6112,5895 is 1
LCM of denominators i.e. for 154,1352 is 104104.
Thus, GCF of Fractions is 1/104104.Finally, GCF of Fractions for 6112/154, 5895/1352 is 1/104104.