Use our free GCF of Fractions Calculator tool to compute the GCF of 43/161, 793/616, 253/989 i.e 1/609224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/161, 793/616, 253/989.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/161,793/616,253/989
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 43/161,793/616,253/989, numerators are 43,793,253
Denominators are 161,616,989
The GCF of 43,793,253 is 1 .
LCM of 161,616,989 is 609224.
The greatest common factor of 43/161,793/616,253/989 = [GCF of 43,793,253]/[LCM of 161,616,989]= 1/609224
Therefore, the GCF of 43/161,793/616,253/989 is 1/609224.
To find the highest common factor of 43,793,253, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 793 are 1, 13, 61, 793
The factors of 253 are 1, 11, 23, 253
The HCF of 43,793,253 is 1.
Lets's calculate GCF of 43,793,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 43
:1,43
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 253
:1,11,23,253
Greatest Common Factor
We found the factors 43,793,253 . The biggest common factor number is the GCF number.
So the greatest common factor 43,793,253 is 1.
Lets's calculate LCM of 161,616,989
7 | 161, 616, 989 |
23 | 23, 88, 989 |
1, 88, 43 |
∴ So the LCM of the given numbers is 7 x 23 x 1 x 88 x 43 = 609224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609224
Therefore, the GCF of Fractions 43/161,793/616,253/989 is 1/609224
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 161,616,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,616,989) = 1
common factors(in case of two or more numbers have common factors) = 161
GCF(161,616,989) x common factors =1 x 161 = 161
LCM(161,616,989) = ( 161 × 616 × 989 ) / 161
LCM(161,616,989) = 98085064 / 161
LCM(161,616,989) = 609224
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,793,253?
The HCF of 43,793,253 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 43/161, 793/616, 253/989?
Answer: GCF of Numerators as per given numbers 43/161, 793/616, 253/989 is
GCF of Numerators i.e. for 43,793,253 is 1
LCM of denominators i.e. for 161,616,989 is 609224.
Thus, GCF of Fractions is 1/609224.Finally, GCF of Fractions for 43/161, 793/616, 253/989 is 1/609224.