Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/340,8462/537
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 132,8462
Greatest Common Factor of Numerators i.e. GCF of 132,8462 is 2 .
LCM of Denominators means LCM of 340,537 as per the given fractions.
LCM of 340,537 is 182580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 132,8462
2 | 132, 8462 |
66, 4231 |
∴ So the GCF of the given numbers is 2 = 2
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
Factors of 8462
List of positive integer factors of 8462 that divides 8462 without a remainder.
1,2,4231,8462
Greatest Common Factor
We found the factors 132,8462 . The biggest common factor number is the GCF number.
So the greatest common factor 132,8462 is 2.
Lets's calculate LCM of 340,537
Given numbers has no common factors except 1. So, there LCM is their product i.e 182580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182580
Therefore, the GCF of Fractions 132/340,8462/537 is 2/182580
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 340,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,537) x common factors =1 x 1 = 1
LCM(340,537) = ( 340 × 537 ) / 1
LCM(340,537) = 182580 / 1
LCM(340,537) = 182580
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 132/340, 8462/537?
Answer: GCF of Numerators as per given numbers 132/340, 8462/537 is
GCF of Numerators i.e. for 132,8462 is 2
LCM of denominators i.e. for 340,537 is 182580.
Thus, GCF of Fractions is 2/182580.Finally, GCF of Fractions for 132/340, 8462/537 is 2/182580.