Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 340/677,132/652
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 340,132
Greatest Common Factor of Numerators i.e. GCF of 340,132 is 4 .
LCM of Denominators means LCM of 677,652 as per the given fractions.
LCM of 677,652 is 441404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 340,132
2 | 340, 132 |
2 | 170, 66 |
85, 33 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 340,132 . The biggest common factor number is the GCF number.
So the greatest common factor 340,132 is 4.
Lets's calculate LCM of 677,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 441404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/441404
Therefore, the GCF of Fractions 340/677,132/652 is 4/441404
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 677,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,652) x common factors =1 x 1 = 1
LCM(677,652) = ( 677 × 652 ) / 1
LCM(677,652) = 441404 / 1
LCM(677,652) = 441404
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 340/677, 132/652?
Answer: GCF of Numerators as per given numbers 340/677, 132/652 is
GCF of Numerators i.e. for 340,132 is 4
LCM of denominators i.e. for 677,652 is 441404.
Thus, GCF of Fractions is 4/441404.Finally, GCF of Fractions for 340/677, 132/652 is 4/441404.