Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/86,82/44,202/742
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 14,82,202
Greatest Common Factor of Numerators i.e. GCF of 14,82,202 is 2 .
LCM of Denominators means LCM of 86,44,742 as per the given fractions.
LCM of 86,44,742 is 701932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,82,202
2 | 14, 82, 202 |
7, 41, 101 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 14,82,202 . The biggest common factor number is the GCF number.
So the greatest common factor 14,82,202 is 2.
Lets's calculate LCM of 86,44,742
2 | 86, 44, 742 |
43, 22, 371 |
∴ So the LCM of the given numbers is 2 x 43 x 22 x 371 = 701932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/701932
Therefore, the GCF of Fractions 14/86,82/44,202/742 is 2/701932
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 86,44,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,44,742) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,44,742) x common factors =2 x 2 = 4
LCM(86,44,742) = ( 86 × 44 × 742 ) / 4
LCM(86,44,742) = 2807728 / 4
LCM(86,44,742) = 701932
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 14/86, 82/44, 202/742?
Answer: GCF of Numerators as per given numbers 14/86, 82/44, 202/742 is
GCF of Numerators i.e. for 14,82,202 is 2
LCM of denominators i.e. for 86,44,742 is 701932.
Thus, GCF of Fractions is 2/701932.Finally, GCF of Fractions for 14/86, 82/44, 202/742 is 2/701932.