Use our free GCF of Fractions Calculator tool to compute the GCF of 706/246, 478/814 i.e 2/100122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/246, 478/814.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/246,478/814
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 706/246,478/814, numerators are 706,478
Denominators are 246,814
The GCF of 706,478 is 2 .
LCM of 246,814 is 100122.
The greatest common factor of 706/246,478/814 = [GCF of 706,478]/[LCM of 246,814]= 2/100122
Therefore, the GCF of 706/246,478/814 is 2/100122.
To find the highest common factor of 706,478, we have to find the factors of both numbers and list the highest common factor.
The factors of 706 are 1, 2, 353, 706
The factors of 478 are 1, 2, 239, 478
The HCF of 706,478 is 2.
Lets's calculate GCF of 706,478
2 | 706, 478 |
353, 239 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 478
:1,2,239,478
Greatest Common Factor
We found the factors 706,478 . The biggest common factor number is the GCF number.
So the greatest common factor 706,478 is 2.
Lets's calculate LCM of 246,814
2 | 246, 814 |
123, 407 |
∴ So the LCM of the given numbers is 2 x 123 x 407 = 100122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100122
Therefore, the GCF of Fractions 706/246,478/814 is 2/100122
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 246,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,814) x common factors =2 x 1 = 2
LCM(246,814) = ( 246 × 814 ) / 2
LCM(246,814) = 200244 / 2
LCM(246,814) = 100122
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 706,478?
The HCF of 706,478 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 706/246, 478/814?
Answer: GCF of Numerators as per given numbers 706/246, 478/814 is
GCF of Numerators i.e. for 706,478 is 2
LCM of denominators i.e. for 246,814 is 100122.
Thus, GCF of Fractions is 2/100122.Finally, GCF of Fractions for 706/246, 478/814 is 2/100122.