Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/829,1962/5981
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 635,1962
Greatest Common Factor of Numerators i.e. GCF of 635,1962 is 1 .
LCM of Denominators means LCM of 829,5981 as per the given fractions.
LCM of 829,5981 is 4958249 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 635,1962
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 1962
List of positive integer factors of 1962 that divides 1962 without a remainder.
1,2,3,6,9,18,109,218,327,654,981,1962
Greatest Common Factor
We found the factors 635,1962 . The biggest common factor number is the GCF number.
So the greatest common factor 635,1962 is 1.
Lets's calculate LCM of 829,5981
Given numbers has no common factors except 1. So, there LCM is their product i.e 4958249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4958249
Therefore, the GCF of Fractions 635/829,1962/5981 is 1/4958249
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 829,5981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,5981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,5981) x common factors =1 x 1 = 1
LCM(829,5981) = ( 829 × 5981 ) / 1
LCM(829,5981) = 4958249 / 1
LCM(829,5981) = 4958249
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 635/829, 1962/5981?
Answer: GCF of Numerators as per given numbers 635/829, 1962/5981 is
GCF of Numerators i.e. for 635,1962 is 1
LCM of denominators i.e. for 829,5981 is 4958249.
Thus, GCF of Fractions is 1/4958249.Finally, GCF of Fractions for 635/829, 1962/5981 is 1/4958249.