Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 161/83,739/80,690/737
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 161,739,690
Greatest Common Factor of Numerators i.e. GCF of 161,739,690 is 1 .
LCM of Denominators means LCM of 83,80,737 as per the given fractions.
LCM of 83,80,737 is 4893680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 161,739,690
∴ 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 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 161,739,690 . The biggest common factor number is the GCF number.
So the greatest common factor 161,739,690 is 1.
Lets's calculate LCM of 83,80,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 4893680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4893680
Therefore, the GCF of Fractions 161/83,739/80,690/737 is 1/4893680
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 83,80,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,80,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,80,737) x common factors =1 x 1 = 1
LCM(83,80,737) = ( 83 × 80 × 737 ) / 1
LCM(83,80,737) = 4893680 / 1
LCM(83,80,737) = 4893680
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 161/83, 739/80, 690/737?
Answer: GCF of Numerators as per given numbers 161/83, 739/80, 690/737 is
GCF of Numerators i.e. for 161,739,690 is 1
LCM of denominators i.e. for 83,80,737 is 4893680.
Thus, GCF of Fractions is 1/4893680.Finally, GCF of Fractions for 161/83, 739/80, 690/737 is 1/4893680.