Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 739/66,698/82,814/334
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 739,698,814
Greatest Common Factor of Numerators i.e. GCF of 739,698,814 is 1 .
LCM of Denominators means LCM of 66,82,334 as per the given fractions.
LCM of 66,82,334 is 451902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 739,698,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 739,698,814 . The biggest common factor number is the GCF number.
So the greatest common factor 739,698,814 is 1.
Lets's calculate LCM of 66,82,334
2 | 66, 82, 334 |
33, 41, 167 |
∴ So the LCM of the given numbers is 2 x 33 x 41 x 167 = 451902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451902
Therefore, the GCF of Fractions 739/66,698/82,814/334 is 1/451902
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 66,82,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,82,334) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(66,82,334) x common factors =2 x 2 = 4
LCM(66,82,334) = ( 66 × 82 × 334 ) / 4
LCM(66,82,334) = 1807608 / 4
LCM(66,82,334) = 451902
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 739/66, 698/82, 814/334?
Answer: GCF of Numerators as per given numbers 739/66, 698/82, 814/334 is
GCF of Numerators i.e. for 739,698,814 is 1
LCM of denominators i.e. for 66,82,334 is 451902.
Thus, GCF of Fractions is 1/451902.Finally, GCF of Fractions for 739/66, 698/82, 814/334 is 1/451902.