Use our free GCF of Fractions Calculator tool to compute the GCF of 467/362, 138/726 i.e 1/131406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/362, 138/726.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 467/362,138/726
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 467/362,138/726, numerators are 467,138
Denominators are 362,726
The GCF of 467,138 is 1 .
LCM of 362,726 is 131406.
The greatest common factor of 467/362,138/726 = [GCF of 467,138]/[LCM of 362,726]= 1/131406
Therefore, the GCF of 467/362,138/726 is 1/131406.
To find the highest common factor of 467,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 467,138 is 1.
Lets's calculate GCF of 467,138
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 467
:1,467
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 467,138 . The biggest common factor number is the GCF number.
So the greatest common factor 467,138 is 1.
Lets's calculate LCM of 362,726
2 | 362, 726 |
181, 363 |
∴ So the LCM of the given numbers is 2 x 181 x 363 = 131406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131406
Therefore, the GCF of Fractions 467/362,138/726 is 1/131406
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 362,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,726) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,726) x common factors =2 x 1 = 2
LCM(362,726) = ( 362 × 726 ) / 2
LCM(362,726) = 262812 / 2
LCM(362,726) = 131406
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 467,138?
The HCF of 467,138 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 467/362, 138/726?
Answer: GCF of Numerators as per given numbers 467/362, 138/726 is
GCF of Numerators i.e. for 467,138 is 1
LCM of denominators i.e. for 362,726 is 131406.
Thus, GCF of Fractions is 1/131406.Finally, GCF of Fractions for 467/362, 138/726 is 1/131406.