Use our free GCF of Fractions Calculator tool to compute the GCF of 346/867, 706/434 i.e 2/376278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 346/867, 706/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 346/867,706/434
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 346/867,706/434, numerators are 346,706
Denominators are 867,434
The GCF of 346,706 is 2 .
LCM of 867,434 is 376278.
The greatest common factor of 346/867,706/434 = [GCF of 346,706]/[LCM of 867,434]= 2/376278
Therefore, the GCF of 346/867,706/434 is 2/376278.
To find the highest common factor of 346,706, we have to find the factors of both numbers and list the highest common factor.
The factors of 346 are 1, 2, 173, 346
The factors of 706 are 1, 2, 353, 706
The HCF of 346,706 is 2.
Lets's calculate GCF of 346,706
2 | 346, 706 |
173, 353 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 346
:1,2,173,346
Now, list down the factors of 706
:1,2,353,706
Greatest Common Factor
We found the factors 346,706 . The biggest common factor number is the GCF number.
So the greatest common factor 346,706 is 2.
Lets's calculate LCM of 867,434
Given numbers has no common factors except 1. So, there LCM is their product i.e 376278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/376278
Therefore, the GCF of Fractions 346/867,706/434 is 2/376278
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 867,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,434) x common factors =1 x 1 = 1
LCM(867,434) = ( 867 × 434 ) / 1
LCM(867,434) = 376278 / 1
LCM(867,434) = 376278
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 346,706?
The HCF of 346,706 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 346/867, 706/434?
Answer: GCF of Numerators as per given numbers 346/867, 706/434 is
GCF of Numerators i.e. for 346,706 is 2
LCM of denominators i.e. for 867,434 is 376278.
Thus, GCF of Fractions is 2/376278.Finally, GCF of Fractions for 346/867, 706/434 is 2/376278.