Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6999/401,3352/8697
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 6999,3352
Greatest Common Factor of Numerators i.e. GCF of 6999,3352 is 1 .
LCM of Denominators means LCM of 401,8697 as per the given fractions.
LCM of 401,8697 is 3487497 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6999,3352
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6999
List of positive integer factors of 6999 that divides 6999 without a remainder.
1,3,2333,6999
Factors of 3352
List of positive integer factors of 3352 that divides 3352 without a remainder.
1,2,4,8,419,838,1676,3352
Greatest Common Factor
We found the factors 6999,3352 . The biggest common factor number is the GCF number.
So the greatest common factor 6999,3352 is 1.
Lets's calculate LCM of 401,8697
Given numbers has no common factors except 1. So, there LCM is their product i.e 3487497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3487497
Therefore, the GCF of Fractions 6999/401,3352/8697 is 1/3487497
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 401,8697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,8697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,8697) x common factors =1 x 1 = 1
LCM(401,8697) = ( 401 × 8697 ) / 1
LCM(401,8697) = 3487497 / 1
LCM(401,8697) = 3487497
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 6999/401, 3352/8697?
Answer: GCF of Numerators as per given numbers 6999/401, 3352/8697 is
GCF of Numerators i.e. for 6999,3352 is 1
LCM of denominators i.e. for 401,8697 is 3487497.
Thus, GCF of Fractions is 1/3487497.Finally, GCF of Fractions for 6999/401, 3352/8697 is 1/3487497.