Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6359/257,8885/2655
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 6359,8885
Greatest Common Factor of Numerators i.e. GCF of 6359,8885 is 1 .
LCM of Denominators means LCM of 257,2655 as per the given fractions.
LCM of 257,2655 is 682335 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6359,8885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6359
List of positive integer factors of 6359 that divides 6359 without a remainder.
1,6359
Factors of 8885
List of positive integer factors of 8885 that divides 8885 without a remainder.
1,5,1777,8885
Greatest Common Factor
We found the factors 6359,8885 . The biggest common factor number is the GCF number.
So the greatest common factor 6359,8885 is 1.
Lets's calculate LCM of 257,2655
Given numbers has no common factors except 1. So, there LCM is their product i.e 682335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682335
Therefore, the GCF of Fractions 6359/257,8885/2655 is 1/682335
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 257,2655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,2655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,2655) x common factors =1 x 1 = 1
LCM(257,2655) = ( 257 × 2655 ) / 1
LCM(257,2655) = 682335 / 1
LCM(257,2655) = 682335
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 6359/257, 8885/2655?
Answer: GCF of Numerators as per given numbers 6359/257, 8885/2655 is
GCF of Numerators i.e. for 6359,8885 is 1
LCM of denominators i.e. for 257,2655 is 682335.
Thus, GCF of Fractions is 1/682335.Finally, GCF of Fractions for 6359/257, 8885/2655 is 1/682335.