Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1729/69,6896/439
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 1729,6896
Greatest Common Factor of Numerators i.e. GCF of 1729,6896 is 1 .
LCM of Denominators means LCM of 69,439 as per the given fractions.
LCM of 69,439 is 30291 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1729,6896
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1729
List of positive integer factors of 1729 that divides 1729 without a remainder.
1,7,13,19,91,133,247,1729
Factors of 6896
List of positive integer factors of 6896 that divides 6896 without a remainder.
1,2,4,8,16,431,862,1724,3448,6896
Greatest Common Factor
We found the factors 1729,6896 . The biggest common factor number is the GCF number.
So the greatest common factor 1729,6896 is 1.
Lets's calculate LCM of 69,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 30291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30291
Therefore, the GCF of Fractions 1729/69,6896/439 is 1/30291
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 69,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,439) x common factors =1 x 1 = 1
LCM(69,439) = ( 69 × 439 ) / 1
LCM(69,439) = 30291 / 1
LCM(69,439) = 30291
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 1729/69, 6896/439?
Answer: GCF of Numerators as per given numbers 1729/69, 6896/439 is
GCF of Numerators i.e. for 1729,6896 is 1
LCM of denominators i.e. for 69,439 is 30291.
Thus, GCF of Fractions is 1/30291.Finally, GCF of Fractions for 1729/69, 6896/439 is 1/30291.