Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3441/292,1252/5167
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 3441,1252
Greatest Common Factor of Numerators i.e. GCF of 3441,1252 is 1 .
LCM of Denominators means LCM of 292,5167 as per the given fractions.
LCM of 292,5167 is 1508764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3441,1252
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3441
List of positive integer factors of 3441 that divides 3441 without a remainder.
1,3,31,37,93,111,1147,3441
Factors of 1252
List of positive integer factors of 1252 that divides 1252 without a remainder.
1,2,4,313,626,1252
Greatest Common Factor
We found the factors 3441,1252 . The biggest common factor number is the GCF number.
So the greatest common factor 3441,1252 is 1.
Lets's calculate LCM of 292,5167
Given numbers has no common factors except 1. So, there LCM is their product i.e 1508764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1508764
Therefore, the GCF of Fractions 3441/292,1252/5167 is 1/1508764
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 292,5167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,5167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,5167) x common factors =1 x 1 = 1
LCM(292,5167) = ( 292 × 5167 ) / 1
LCM(292,5167) = 1508764 / 1
LCM(292,5167) = 1508764
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 3441/292, 1252/5167?
Answer: GCF of Numerators as per given numbers 3441/292, 1252/5167 is
GCF of Numerators i.e. for 3441,1252 is 1
LCM of denominators i.e. for 292,5167 is 1508764.
Thus, GCF of Fractions is 1/1508764.Finally, GCF of Fractions for 3441/292, 1252/5167 is 1/1508764.