Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/49,25/14,874/262
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 33,25,874
Greatest Common Factor of Numerators i.e. GCF of 33,25,874 is 1 .
LCM of Denominators means LCM of 49,14,262 as per the given fractions.
LCM of 49,14,262 is 12838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,25,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 33,25,874 . The biggest common factor number is the GCF number.
So the greatest common factor 33,25,874 is 1.
Lets's calculate LCM of 49,14,262
2 | 49, 14, 262 |
7 | 49, 7, 131 |
1, 7, 131 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 7 x 131 = 12838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12838
Therefore, the GCF of Fractions 33/49,25/14,874/262 is 1/12838
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 49,14,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,14,262) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(49,14,262) x common factors =1 x 14 = 14
LCM(49,14,262) = ( 49 × 14 × 262 ) / 14
LCM(49,14,262) = 179732 / 14
LCM(49,14,262) = 12838
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 33/49, 25/14, 874/262?
Answer: GCF of Numerators as per given numbers 33/49, 25/14, 874/262 is
GCF of Numerators i.e. for 33,25,874 is 1
LCM of denominators i.e. for 49,14,262 is 12838.
Thus, GCF of Fractions is 1/12838.Finally, GCF of Fractions for 33/49, 25/14, 874/262 is 1/12838.