Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 164/795,386/276
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 164,386
Greatest Common Factor of Numerators i.e. GCF of 164,386 is 2 .
LCM of Denominators means LCM of 795,276 as per the given fractions.
LCM of 795,276 is 73140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 164,386
2 | 164, 386 |
82, 193 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 164,386 . The biggest common factor number is the GCF number.
So the greatest common factor 164,386 is 2.
Lets's calculate LCM of 795,276
3 | 795, 276 |
265, 92 |
∴ So the LCM of the given numbers is 3 x 265 x 92 = 73140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73140
Therefore, the GCF of Fractions 164/795,386/276 is 2/73140
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 795,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,276) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,276) x common factors =3 x 1 = 3
LCM(795,276) = ( 795 × 276 ) / 3
LCM(795,276) = 219420 / 3
LCM(795,276) = 73140
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 164/795, 386/276?
Answer: GCF of Numerators as per given numbers 164/795, 386/276 is
GCF of Numerators i.e. for 164,386 is 2
LCM of denominators i.e. for 795,276 is 73140.
Thus, GCF of Fractions is 2/73140.Finally, GCF of Fractions for 164/795, 386/276 is 2/73140.