Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 713/349,5310/7591
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 713,5310
Greatest Common Factor of Numerators i.e. GCF of 713,5310 is 1 .
LCM of Denominators means LCM of 349,7591 as per the given fractions.
LCM of 349,7591 is 2649259 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 713,5310
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 5310
List of positive integer factors of 5310 that divides 5310 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Greatest Common Factor
We found the factors 713,5310 . The biggest common factor number is the GCF number.
So the greatest common factor 713,5310 is 1.
Lets's calculate LCM of 349,7591
Given numbers has no common factors except 1. So, there LCM is their product i.e 2649259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2649259
Therefore, the GCF of Fractions 713/349,5310/7591 is 1/2649259
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 349,7591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,7591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,7591) x common factors =1 x 1 = 1
LCM(349,7591) = ( 349 × 7591 ) / 1
LCM(349,7591) = 2649259 / 1
LCM(349,7591) = 2649259
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 713/349, 5310/7591?
Answer: GCF of Numerators as per given numbers 713/349, 5310/7591 is
GCF of Numerators i.e. for 713,5310 is 1
LCM of denominators i.e. for 349,7591 is 2649259.
Thus, GCF of Fractions is 1/2649259.Finally, GCF of Fractions for 713/349, 5310/7591 is 1/2649259.