Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1241/687,1635/7804
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 1241,1635
Greatest Common Factor of Numerators i.e. GCF of 1241,1635 is 1 .
LCM of Denominators means LCM of 687,7804 as per the given fractions.
LCM of 687,7804 is 5361348 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1241,1635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1,17,73,1241
Factors of 1635
List of positive integer factors of 1635 that divides 1635 without a remainder.
1,3,5,15,109,327,545,1635
Greatest Common Factor
We found the factors 1241,1635 . The biggest common factor number is the GCF number.
So the greatest common factor 1241,1635 is 1.
Lets's calculate LCM of 687,7804
Given numbers has no common factors except 1. So, there LCM is their product i.e 5361348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5361348
Therefore, the GCF of Fractions 1241/687,1635/7804 is 1/5361348
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 687,7804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,7804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,7804) x common factors =1 x 1 = 1
LCM(687,7804) = ( 687 × 7804 ) / 1
LCM(687,7804) = 5361348 / 1
LCM(687,7804) = 5361348
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 1241/687, 1635/7804?
Answer: GCF of Numerators as per given numbers 1241/687, 1635/7804 is
GCF of Numerators i.e. for 1241,1635 is 1
LCM of denominators i.e. for 687,7804 is 5361348.
Thus, GCF of Fractions is 1/5361348.Finally, GCF of Fractions for 1241/687, 1635/7804 is 1/5361348.