Use our free GCF of Fractions Calculator tool to compute the GCF of 93/526, 148/359, 405/671 i.e 1/126707614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/526, 148/359, 405/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/526,148/359,405/671
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 93/526,148/359,405/671, numerators are 93,148,405
Denominators are 526,359,671
The GCF of 93,148,405 is 1 .
LCM of 526,359,671 is 126707614.
The greatest common factor of 93/526,148/359,405/671 = [GCF of 93,148,405]/[LCM of 526,359,671]= 1/126707614
Therefore, the GCF of 93/526,148/359,405/671 is 1/126707614.
To find the highest common factor of 93,148,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 148 are 1, 2, 4, 37, 74, 148
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 93,148,405 is 1.
Lets's calculate GCF of 93,148,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 148
:1,2,4,37,74,148
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 93,148,405 . The biggest common factor number is the GCF number.
So the greatest common factor 93,148,405 is 1.
Lets's calculate LCM of 526,359,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 126707614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126707614
Therefore, the GCF of Fractions 93/526,148/359,405/671 is 1/126707614
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 526,359,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,359,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,359,671) x common factors =1 x 1 = 1
LCM(526,359,671) = ( 526 × 359 × 671 ) / 1
LCM(526,359,671) = 126707614 / 1
LCM(526,359,671) = 126707614
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 93,148,405?
The HCF of 93,148,405 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 93/526, 148/359, 405/671?
Answer: GCF of Numerators as per given numbers 93/526, 148/359, 405/671 is
GCF of Numerators i.e. for 93,148,405 is 1
LCM of denominators i.e. for 526,359,671 is 126707614.
Thus, GCF of Fractions is 1/126707614.Finally, GCF of Fractions for 93/526, 148/359, 405/671 is 1/126707614.