Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3121/59,5468/736
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 3121,5468
Greatest Common Factor of Numerators i.e. GCF of 3121,5468 is 1 .
LCM of Denominators means LCM of 59,736 as per the given fractions.
LCM of 59,736 is 43424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3121,5468
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3121
List of positive integer factors of 3121 that divides 3121 without a remainder.
1,3121
Factors of 5468
List of positive integer factors of 5468 that divides 5468 without a remainder.
1,2,4,1367,2734,5468
Greatest Common Factor
We found the factors 3121,5468 . The biggest common factor number is the GCF number.
So the greatest common factor 3121,5468 is 1.
Lets's calculate LCM of 59,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 43424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43424
Therefore, the GCF of Fractions 3121/59,5468/736 is 1/43424
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 59,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,736) x common factors =1 x 1 = 1
LCM(59,736) = ( 59 × 736 ) / 1
LCM(59,736) = 43424 / 1
LCM(59,736) = 43424
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 3121/59, 5468/736?
Answer: GCF of Numerators as per given numbers 3121/59, 5468/736 is
GCF of Numerators i.e. for 3121,5468 is 1
LCM of denominators i.e. for 59,736 is 43424.
Thus, GCF of Fractions is 1/43424.Finally, GCF of Fractions for 3121/59, 5468/736 is 1/43424.