Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5401/31,8560/104
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 5401,8560
Greatest Common Factor of Numerators i.e. GCF of 5401,8560 is 1 .
LCM of Denominators means LCM of 31,104 as per the given fractions.
LCM of 31,104 is 3224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5401,8560
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5401
List of positive integer factors of 5401 that divides 5401 without a remainder.
1,11,491,5401
Factors of 8560
List of positive integer factors of 8560 that divides 8560 without a remainder.
1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560
Greatest Common Factor
We found the factors 5401,8560 . The biggest common factor number is the GCF number.
So the greatest common factor 5401,8560 is 1.
Lets's calculate LCM of 31,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 3224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3224
Therefore, the GCF of Fractions 5401/31,8560/104 is 1/3224
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 31,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,104) x common factors =1 x 1 = 1
LCM(31,104) = ( 31 × 104 ) / 1
LCM(31,104) = 3224 / 1
LCM(31,104) = 3224
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 5401/31, 8560/104?
Answer: GCF of Numerators as per given numbers 5401/31, 8560/104 is
GCF of Numerators i.e. for 5401,8560 is 1
LCM of denominators i.e. for 31,104 is 3224.
Thus, GCF of Fractions is 1/3224.Finally, GCF of Fractions for 5401/31, 8560/104 is 1/3224.