Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2182/35,1427/440
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 2182,1427
Greatest Common Factor of Numerators i.e. GCF of 2182,1427 is 1 .
LCM of Denominators means LCM of 35,440 as per the given fractions.
LCM of 35,440 is 3080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2182,1427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2182
List of positive integer factors of 2182 that divides 2182 without a remainder.
1,2,1091,2182
Factors of 1427
List of positive integer factors of 1427 that divides 1427 without a remainder.
1,1427
Greatest Common Factor
We found the factors 2182,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 2182,1427 is 1.
Lets's calculate LCM of 35,440
5 | 35, 440 |
7, 88 |
∴ So the LCM of the given numbers is 5 x 7 x 88 = 3080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3080
Therefore, the GCF of Fractions 2182/35,1427/440 is 1/3080
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 35,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,440) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(35,440) x common factors =5 x 1 = 5
LCM(35,440) = ( 35 × 440 ) / 5
LCM(35,440) = 15400 / 5
LCM(35,440) = 3080
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 2182/35, 1427/440?
Answer: GCF of Numerators as per given numbers 2182/35, 1427/440 is
GCF of Numerators i.e. for 2182,1427 is 1
LCM of denominators i.e. for 35,440 is 3080.
Thus, GCF of Fractions is 1/3080.Finally, GCF of Fractions for 2182/35, 1427/440 is 1/3080.