Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1317/829,7630/706
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 1317,7630
Greatest Common Factor of Numerators i.e. GCF of 1317,7630 is 1 .
LCM of Denominators means LCM of 829,706 as per the given fractions.
LCM of 829,706 is 585274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1317,7630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1317
List of positive integer factors of 1317 that divides 1317 without a remainder.
1,3,439,1317
Factors of 7630
List of positive integer factors of 7630 that divides 7630 without a remainder.
1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630
Greatest Common Factor
We found the factors 1317,7630 . The biggest common factor number is the GCF number.
So the greatest common factor 1317,7630 is 1.
Lets's calculate LCM of 829,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 585274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585274
Therefore, the GCF of Fractions 1317/829,7630/706 is 1/585274
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 829,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,706) x common factors =1 x 1 = 1
LCM(829,706) = ( 829 × 706 ) / 1
LCM(829,706) = 585274 / 1
LCM(829,706) = 585274
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 1317/829, 7630/706?
Answer: GCF of Numerators as per given numbers 1317/829, 7630/706 is
GCF of Numerators i.e. for 1317,7630 is 1
LCM of denominators i.e. for 829,706 is 585274.
Thus, GCF of Fractions is 1/585274.Finally, GCF of Fractions for 1317/829, 7630/706 is 1/585274.