Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2214/86,3280/853
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 2214,3280
Greatest Common Factor of Numerators i.e. GCF of 2214,3280 is 82 .
LCM of Denominators means LCM of 86,853 as per the given fractions.
LCM of 86,853 is 73358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2214,3280
2 | 2214, 3280 |
41 | 1107, 1640 |
27, 40 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Factors of 2214
List of positive integer factors of 2214 that divides 2214 without a remainder.
1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Factors of 3280
List of positive integer factors of 3280 that divides 3280 without a remainder.
1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Greatest Common Factor
We found the factors 2214,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 2214,3280 is 82.
Lets's calculate LCM of 86,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 73358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/73358
Therefore, the GCF of Fractions 2214/86,3280/853 is 82/73358
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 86,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,853) x common factors =1 x 1 = 1
LCM(86,853) = ( 86 × 853 ) / 1
LCM(86,853) = 73358 / 1
LCM(86,853) = 73358
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 2214/86, 3280/853?
Answer: GCF of Numerators as per given numbers 2214/86, 3280/853 is
GCF of Numerators i.e. for 2214,3280 is 82
LCM of denominators i.e. for 86,853 is 73358.
Thus, GCF of Fractions is 82/73358.Finally, GCF of Fractions for 2214/86, 3280/853 is 82/73358.