Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9291/790,6560/9609
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 9291,6560
Greatest Common Factor of Numerators i.e. GCF of 9291,6560 is 1 .
LCM of Denominators means LCM of 790,9609 as per the given fractions.
LCM of 790,9609 is 7591110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9291,6560
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9291
List of positive integer factors of 9291 that divides 9291 without a remainder.
1,3,19,57,163,489,3097,9291
Factors of 6560
List of positive integer factors of 6560 that divides 6560 without a remainder.
1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560
Greatest Common Factor
We found the factors 9291,6560 . The biggest common factor number is the GCF number.
So the greatest common factor 9291,6560 is 1.
Lets's calculate LCM of 790,9609
Given numbers has no common factors except 1. So, there LCM is their product i.e 7591110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7591110
Therefore, the GCF of Fractions 9291/790,6560/9609 is 1/7591110
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 790,9609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,9609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,9609) x common factors =1 x 1 = 1
LCM(790,9609) = ( 790 × 9609 ) / 1
LCM(790,9609) = 7591110 / 1
LCM(790,9609) = 7591110
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 9291/790, 6560/9609?
Answer: GCF of Numerators as per given numbers 9291/790, 6560/9609 is
GCF of Numerators i.e. for 9291,6560 is 1
LCM of denominators i.e. for 790,9609 is 7591110.
Thus, GCF of Fractions is 1/7591110.Finally, GCF of Fractions for 9291/790, 6560/9609 is 1/7591110.