Use our free GCF of Fractions Calculator tool to compute the GCF of 224/43, 346/814 i.e 2/35002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 224/43, 346/814.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 224/43,346/814
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 224/43,346/814, numerators are 224,346
Denominators are 43,814
The GCF of 224,346 is 2 .
LCM of 43,814 is 35002.
The greatest common factor of 224/43,346/814 = [GCF of 224,346]/[LCM of 43,814]= 2/35002
Therefore, the GCF of 224/43,346/814 is 2/35002.
To find the highest common factor of 224,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The factors of 346 are 1, 2, 173, 346
The HCF of 224,346 is 2.
Lets's calculate GCF of 224,346
2 | 224, 346 |
112, 173 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 224,346 . The biggest common factor number is the GCF number.
So the greatest common factor 224,346 is 2.
Lets's calculate LCM of 43,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 35002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35002
Therefore, the GCF of Fractions 224/43,346/814 is 2/35002
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 43,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,814) x common factors =1 x 1 = 1
LCM(43,814) = ( 43 × 814 ) / 1
LCM(43,814) = 35002 / 1
LCM(43,814) = 35002
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 224,346?
The HCF of 224,346 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 224/43, 346/814?
Answer: GCF of Numerators as per given numbers 224/43, 346/814 is
GCF of Numerators i.e. for 224,346 is 2
LCM of denominators i.e. for 43,814 is 35002.
Thus, GCF of Fractions is 2/35002.Finally, GCF of Fractions for 224/43, 346/814 is 2/35002.