Use our free GCF of Fractions Calculator tool to compute the GCF of 346/257, 462/224 i.e 2/57568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 346/257, 462/224.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 346/257,462/224
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 346/257,462/224, numerators are 346,462
Denominators are 257,224
The GCF of 346,462 is 2 .
LCM of 257,224 is 57568.
The greatest common factor of 346/257,462/224 = [GCF of 346,462]/[LCM of 257,224]= 2/57568
Therefore, the GCF of 346/257,462/224 is 2/57568.
To find the highest common factor of 346,462, 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 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 346,462 is 2.
Lets's calculate GCF of 346,462
2 | 346, 462 |
173, 231 |
∴ 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 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 346,462 . The biggest common factor number is the GCF number.
So the greatest common factor 346,462 is 2.
Lets's calculate LCM of 257,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 57568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57568
Therefore, the GCF of Fractions 346/257,462/224 is 2/57568
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 257,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,224) x common factors =1 x 1 = 1
LCM(257,224) = ( 257 × 224 ) / 1
LCM(257,224) = 57568 / 1
LCM(257,224) = 57568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 346,462?
The HCF of 346,462 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 346/257, 462/224?
Answer: GCF of Numerators as per given numbers 346/257, 462/224 is
GCF of Numerators i.e. for 346,462 is 2
LCM of denominators i.e. for 257,224 is 57568.
Thus, GCF of Fractions is 2/57568.Finally, GCF of Fractions for 346/257, 462/224 is 2/57568.