Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 161/29,112/65,325/668
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 161,112,325
Greatest Common Factor of Numerators i.e. GCF of 161,112,325 is 1 .
LCM of Denominators means LCM of 29,65,668 as per the given fractions.
LCM of 29,65,668 is 1259180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 161,112,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 161,112,325 . The biggest common factor number is the GCF number.
So the greatest common factor 161,112,325 is 1.
Lets's calculate LCM of 29,65,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 1259180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1259180
Therefore, the GCF of Fractions 161/29,112/65,325/668 is 1/1259180
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 29,65,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,65,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,65,668) x common factors =1 x 1 = 1
LCM(29,65,668) = ( 29 × 65 × 668 ) / 1
LCM(29,65,668) = 1259180 / 1
LCM(29,65,668) = 1259180
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 161/29, 112/65, 325/668?
Answer: GCF of Numerators as per given numbers 161/29, 112/65, 325/668 is
GCF of Numerators i.e. for 161,112,325 is 1
LCM of denominators i.e. for 29,65,668 is 1259180.
Thus, GCF of Fractions is 1/1259180.Finally, GCF of Fractions for 161/29, 112/65, 325/668 is 1/1259180.