Use our free GCF of Fractions Calculator tool to compute the GCF of 129/178, 223/638 i.e 1/56782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/178, 223/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/178,223/638
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 129/178,223/638, numerators are 129,223
Denominators are 178,638
The GCF of 129,223 is 1 .
LCM of 178,638 is 56782.
The greatest common factor of 129/178,223/638 = [GCF of 129,223]/[LCM of 178,638]= 1/56782
Therefore, the GCF of 129/178,223/638 is 1/56782.
To find the highest common factor of 129,223, we have to find the factors of both numbers and list the highest common factor.
The factors of 129 are 1, 3, 43, 129
The factors of 223 are 1, 223
The HCF of 129,223 is 1.
Lets's calculate GCF of 129,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 223
:1,223
Greatest Common Factor
We found the factors 129,223 . The biggest common factor number is the GCF number.
So the greatest common factor 129,223 is 1.
Lets's calculate LCM of 178,638
2 | 178, 638 |
89, 319 |
∴ So the LCM of the given numbers is 2 x 89 x 319 = 56782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56782
Therefore, the GCF of Fractions 129/178,223/638 is 1/56782
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 178,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,638) x common factors =2 x 1 = 2
LCM(178,638) = ( 178 × 638 ) / 2
LCM(178,638) = 113564 / 2
LCM(178,638) = 56782
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 129,223?
The HCF of 129,223 is 1
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 129/178, 223/638?
Answer: GCF of Numerators as per given numbers 129/178, 223/638 is
GCF of Numerators i.e. for 129,223 is 1
LCM of denominators i.e. for 178,638 is 56782.
Thus, GCF of Fractions is 1/56782.Finally, GCF of Fractions for 129/178, 223/638 is 1/56782.