Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 160/46,182/132
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 160,182
Greatest Common Factor of Numerators i.e. GCF of 160,182 is 2 .
LCM of Denominators means LCM of 46,132 as per the given fractions.
LCM of 46,132 is 3036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 160,182
2 | 160, 182 |
80, 91 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 160,182 . The biggest common factor number is the GCF number.
So the greatest common factor 160,182 is 2.
Lets's calculate LCM of 46,132
2 | 46, 132 |
23, 66 |
∴ So the LCM of the given numbers is 2 x 23 x 66 = 3036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3036
Therefore, the GCF of Fractions 160/46,182/132 is 2/3036
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 46,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,132) x common factors =2 x 1 = 2
LCM(46,132) = ( 46 × 132 ) / 2
LCM(46,132) = 6072 / 2
LCM(46,132) = 3036
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 160/46, 182/132?
Answer: GCF of Numerators as per given numbers 160/46, 182/132 is
GCF of Numerators i.e. for 160,182 is 2
LCM of denominators i.e. for 46,132 is 3036.
Thus, GCF of Fractions is 2/3036.Finally, GCF of Fractions for 160/46, 182/132 is 2/3036.