Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6968/897,1231/6671
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 6968,1231
Greatest Common Factor of Numerators i.e. GCF of 6968,1231 is 1 .
LCM of Denominators means LCM of 897,6671 as per the given fractions.
LCM of 897,6671 is 5983887 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6968,1231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6968
List of positive integer factors of 6968 that divides 6968 without a remainder.
1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Factors of 1231
List of positive integer factors of 1231 that divides 1231 without a remainder.
1,1231
Greatest Common Factor
We found the factors 6968,1231 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,1231 is 1.
Lets's calculate LCM of 897,6671
Given numbers has no common factors except 1. So, there LCM is their product i.e 5983887
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5983887
Therefore, the GCF of Fractions 6968/897,1231/6671 is 1/5983887
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 897,6671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,6671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,6671) x common factors =1 x 1 = 1
LCM(897,6671) = ( 897 × 6671 ) / 1
LCM(897,6671) = 5983887 / 1
LCM(897,6671) = 5983887
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 6968/897, 1231/6671?
Answer: GCF of Numerators as per given numbers 6968/897, 1231/6671 is
GCF of Numerators i.e. for 6968,1231 is 1
LCM of denominators i.e. for 897,6671 is 5983887.
Thus, GCF of Fractions is 1/5983887.Finally, GCF of Fractions for 6968/897, 1231/6671 is 1/5983887.