Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1061/740,2448/8459
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 1061,2448
Greatest Common Factor of Numerators i.e. GCF of 1061,2448 is 1 .
LCM of Denominators means LCM of 740,8459 as per the given fractions.
LCM of 740,8459 is 6259660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1061,2448
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1061
List of positive integer factors of 1061 that divides 1061 without a remainder.
1,1061
Factors of 2448
List of positive integer factors of 2448 that divides 2448 without a remainder.
1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Greatest Common Factor
We found the factors 1061,2448 . The biggest common factor number is the GCF number.
So the greatest common factor 1061,2448 is 1.
Lets's calculate LCM of 740,8459
Given numbers has no common factors except 1. So, there LCM is their product i.e 6259660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6259660
Therefore, the GCF of Fractions 1061/740,2448/8459 is 1/6259660
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 740,8459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,8459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,8459) x common factors =1 x 1 = 1
LCM(740,8459) = ( 740 × 8459 ) / 1
LCM(740,8459) = 6259660 / 1
LCM(740,8459) = 6259660
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 1061/740, 2448/8459?
Answer: GCF of Numerators as per given numbers 1061/740, 2448/8459 is
GCF of Numerators i.e. for 1061,2448 is 1
LCM of denominators i.e. for 740,8459 is 6259660.
Thus, GCF of Fractions is 1/6259660.Finally, GCF of Fractions for 1061/740, 2448/8459 is 1/6259660.