Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4649/430,3512/1395
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 4649,3512
Greatest Common Factor of Numerators i.e. GCF of 4649,3512 is 1 .
LCM of Denominators means LCM of 430,1395 as per the given fractions.
LCM of 430,1395 is 119970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4649,3512
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4649
List of positive integer factors of 4649 that divides 4649 without a remainder.
1,4649
Factors of 3512
List of positive integer factors of 3512 that divides 3512 without a remainder.
1,2,4,8,439,878,1756,3512
Greatest Common Factor
We found the factors 4649,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 4649,3512 is 1.
Lets's calculate LCM of 430,1395
5 | 430, 1395 |
86, 279 |
∴ So the LCM of the given numbers is 5 x 86 x 279 = 119970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119970
Therefore, the GCF of Fractions 4649/430,3512/1395 is 1/119970
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 430,1395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,1395) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(430,1395) x common factors =5 x 1 = 5
LCM(430,1395) = ( 430 × 1395 ) / 5
LCM(430,1395) = 599850 / 5
LCM(430,1395) = 119970
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 4649/430, 3512/1395?
Answer: GCF of Numerators as per given numbers 4649/430, 3512/1395 is
GCF of Numerators i.e. for 4649,3512 is 1
LCM of denominators i.e. for 430,1395 is 119970.
Thus, GCF of Fractions is 1/119970.Finally, GCF of Fractions for 4649/430, 3512/1395 is 1/119970.