Use our free GCF of Fractions Calculator tool to compute the GCF of 46/323, 97/575, 883/607 i.e 1/112735075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/323, 97/575, 883/607.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/323,97/575,883/607
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 46/323,97/575,883/607, numerators are 46,97,883
Denominators are 323,575,607
The GCF of 46,97,883 is 1 .
LCM of 323,575,607 is 112735075.
The greatest common factor of 46/323,97/575,883/607 = [GCF of 46,97,883]/[LCM of 323,575,607]= 1/112735075
Therefore, the GCF of 46/323,97/575,883/607 is 1/112735075.
To find the highest common factor of 46,97,883, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 97 are 1, 97
The factors of 883 are 1, 883
The HCF of 46,97,883 is 1.
Lets's calculate GCF of 46,97,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 97
:1,97
Now, list down the factors of 883
:1,883
Greatest Common Factor
We found the factors 46,97,883 . The biggest common factor number is the GCF number.
So the greatest common factor 46,97,883 is 1.
Lets's calculate LCM of 323,575,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 112735075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112735075
Therefore, the GCF of Fractions 46/323,97/575,883/607 is 1/112735075
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 323,575,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,575,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,575,607) x common factors =1 x 1 = 1
LCM(323,575,607) = ( 323 × 575 × 607 ) / 1
LCM(323,575,607) = 112735075 / 1
LCM(323,575,607) = 112735075
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,97,883?
The HCF of 46,97,883 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 46/323, 97/575, 883/607?
Answer: GCF of Numerators as per given numbers 46/323, 97/575, 883/607 is
GCF of Numerators i.e. for 46,97,883 is 1
LCM of denominators i.e. for 323,575,607 is 112735075.
Thus, GCF of Fractions is 1/112735075.Finally, GCF of Fractions for 46/323, 97/575, 883/607 is 1/112735075.