Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5896/89,4514/257
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 5896,4514
Greatest Common Factor of Numerators i.e. GCF of 5896,4514 is 2 .
LCM of Denominators means LCM of 89,257 as per the given fractions.
LCM of 89,257 is 22873 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5896,4514
2 | 5896, 4514 |
2948, 2257 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5896
List of positive integer factors of 5896 that divides 5896 without a remainder.
1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896
Factors of 4514
List of positive integer factors of 4514 that divides 4514 without a remainder.
1,2,37,61,74,122,2257,4514
Greatest Common Factor
We found the factors 5896,4514 . The biggest common factor number is the GCF number.
So the greatest common factor 5896,4514 is 2.
Lets's calculate LCM of 89,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 22873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22873
Therefore, the GCF of Fractions 5896/89,4514/257 is 2/22873
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 89,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,257) x common factors =1 x 1 = 1
LCM(89,257) = ( 89 × 257 ) / 1
LCM(89,257) = 22873 / 1
LCM(89,257) = 22873
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 5896/89, 4514/257?
Answer: GCF of Numerators as per given numbers 5896/89, 4514/257 is
GCF of Numerators i.e. for 5896,4514 is 2
LCM of denominators i.e. for 89,257 is 22873.
Thus, GCF of Fractions is 2/22873.Finally, GCF of Fractions for 5896/89, 4514/257 is 2/22873.