Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7051/831,3547/901
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 7051,3547
Greatest Common Factor of Numerators i.e. GCF of 7051,3547 is 1 .
LCM of Denominators means LCM of 831,901 as per the given fractions.
LCM of 831,901 is 748731 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7051,3547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7051
List of positive integer factors of 7051 that divides 7051 without a remainder.
1,11,641,7051
Factors of 3547
List of positive integer factors of 3547 that divides 3547 without a remainder.
1,3547
Greatest Common Factor
We found the factors 7051,3547 . The biggest common factor number is the GCF number.
So the greatest common factor 7051,3547 is 1.
Lets's calculate LCM of 831,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 748731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748731
Therefore, the GCF of Fractions 7051/831,3547/901 is 1/748731
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 831,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,901) x common factors =1 x 1 = 1
LCM(831,901) = ( 831 × 901 ) / 1
LCM(831,901) = 748731 / 1
LCM(831,901) = 748731
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 7051/831, 3547/901?
Answer: GCF of Numerators as per given numbers 7051/831, 3547/901 is
GCF of Numerators i.e. for 7051,3547 is 1
LCM of denominators i.e. for 831,901 is 748731.
Thus, GCF of Fractions is 1/748731.Finally, GCF of Fractions for 7051/831, 3547/901 is 1/748731.