Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/377,3265/9830
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 257,3265
Greatest Common Factor of Numerators i.e. GCF of 257,3265 is 1 .
LCM of Denominators means LCM of 377,9830 as per the given fractions.
LCM of 377,9830 is 3705910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,3265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 3265
List of positive integer factors of 3265 that divides 3265 without a remainder.
1,5,653,3265
Greatest Common Factor
We found the factors 257,3265 . The biggest common factor number is the GCF number.
So the greatest common factor 257,3265 is 1.
Lets's calculate LCM of 377,9830
Given numbers has no common factors except 1. So, there LCM is their product i.e 3705910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3705910
Therefore, the GCF of Fractions 257/377,3265/9830 is 1/3705910
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 377,9830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,9830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,9830) x common factors =1 x 1 = 1
LCM(377,9830) = ( 377 × 9830 ) / 1
LCM(377,9830) = 3705910 / 1
LCM(377,9830) = 3705910
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 257/377, 3265/9830?
Answer: GCF of Numerators as per given numbers 257/377, 3265/9830 is
GCF of Numerators i.e. for 257,3265 is 1
LCM of denominators i.e. for 377,9830 is 3705910.
Thus, GCF of Fractions is 1/3705910.Finally, GCF of Fractions for 257/377, 3265/9830 is 1/3705910.