Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1196/167,1734/697
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 1196,1734
Greatest Common Factor of Numerators i.e. GCF of 1196,1734 is 2 .
LCM of Denominators means LCM of 167,697 as per the given fractions.
LCM of 167,697 is 116399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1196,1734
2 | 1196, 1734 |
598, 867 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1196
List of positive integer factors of 1196 that divides 1196 without a remainder.
1,2,4,13,23,26,46,52,92,299,598,1196
Factors of 1734
List of positive integer factors of 1734 that divides 1734 without a remainder.
1,2,3,6,17,34,51,102,289,578,867,1734
Greatest Common Factor
We found the factors 1196,1734 . The biggest common factor number is the GCF number.
So the greatest common factor 1196,1734 is 2.
Lets's calculate LCM of 167,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 116399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116399
Therefore, the GCF of Fractions 1196/167,1734/697 is 2/116399
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 167,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,697) x common factors =1 x 1 = 1
LCM(167,697) = ( 167 × 697 ) / 1
LCM(167,697) = 116399 / 1
LCM(167,697) = 116399
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 1196/167, 1734/697?
Answer: GCF of Numerators as per given numbers 1196/167, 1734/697 is
GCF of Numerators i.e. for 1196,1734 is 2
LCM of denominators i.e. for 167,697 is 116399.
Thus, GCF of Fractions is 2/116399.Finally, GCF of Fractions for 1196/167, 1734/697 is 2/116399.