Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/613,9614/2210
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 257,9614
Greatest Common Factor of Numerators i.e. GCF of 257,9614 is 1 .
LCM of Denominators means LCM of 613,2210 as per the given fractions.
LCM of 613,2210 is 1354730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,9614
∴ 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 9614
List of positive integer factors of 9614 that divides 9614 without a remainder.
1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Greatest Common Factor
We found the factors 257,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 257,9614 is 1.
Lets's calculate LCM of 613,2210
Given numbers has no common factors except 1. So, there LCM is their product i.e 1354730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1354730
Therefore, the GCF of Fractions 257/613,9614/2210 is 1/1354730
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 613,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,2210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,2210) x common factors =1 x 1 = 1
LCM(613,2210) = ( 613 × 2210 ) / 1
LCM(613,2210) = 1354730 / 1
LCM(613,2210) = 1354730
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 257/613, 9614/2210?
Answer: GCF of Numerators as per given numbers 257/613, 9614/2210 is
GCF of Numerators i.e. for 257,9614 is 1
LCM of denominators i.e. for 613,2210 is 1354730.
Thus, GCF of Fractions is 1/1354730.Finally, GCF of Fractions for 257/613, 9614/2210 is 1/1354730.