Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 359/514,9198/763
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 359,9198
Greatest Common Factor of Numerators i.e. GCF of 359,9198 is 1 .
LCM of Denominators means LCM of 514,763 as per the given fractions.
LCM of 514,763 is 392182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 359,9198
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 9198
List of positive integer factors of 9198 that divides 9198 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198
Greatest Common Factor
We found the factors 359,9198 . The biggest common factor number is the GCF number.
So the greatest common factor 359,9198 is 1.
Lets's calculate LCM of 514,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 392182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392182
Therefore, the GCF of Fractions 359/514,9198/763 is 1/392182
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 514,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,763) x common factors =1 x 1 = 1
LCM(514,763) = ( 514 × 763 ) / 1
LCM(514,763) = 392182 / 1
LCM(514,763) = 392182
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 359/514, 9198/763?
Answer: GCF of Numerators as per given numbers 359/514, 9198/763 is
GCF of Numerators i.e. for 359,9198 is 1
LCM of denominators i.e. for 514,763 is 392182.
Thus, GCF of Fractions is 1/392182.Finally, GCF of Fractions for 359/514, 9198/763 is 1/392182.