Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7326/80,7153/995
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 7326,7153
Greatest Common Factor of Numerators i.e. GCF of 7326,7153 is 1 .
LCM of Denominators means LCM of 80,995 as per the given fractions.
LCM of 80,995 is 15920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7326,7153
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7326
List of positive integer factors of 7326 that divides 7326 without a remainder.
1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Factors of 7153
List of positive integer factors of 7153 that divides 7153 without a remainder.
1,23,311,7153
Greatest Common Factor
We found the factors 7326,7153 . The biggest common factor number is the GCF number.
So the greatest common factor 7326,7153 is 1.
Lets's calculate LCM of 80,995
5 | 80, 995 |
16, 199 |
∴ So the LCM of the given numbers is 5 x 16 x 199 = 15920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15920
Therefore, the GCF of Fractions 7326/80,7153/995 is 1/15920
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 80,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(80,995) x common factors =5 x 1 = 5
LCM(80,995) = ( 80 × 995 ) / 5
LCM(80,995) = 79600 / 5
LCM(80,995) = 15920
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 7326/80, 7153/995?
Answer: GCF of Numerators as per given numbers 7326/80, 7153/995 is
GCF of Numerators i.e. for 7326,7153 is 1
LCM of denominators i.e. for 80,995 is 15920.
Thus, GCF of Fractions is 1/15920.Finally, GCF of Fractions for 7326/80, 7153/995 is 1/15920.