Use our free GCF of Fractions Calculator tool to compute the GCF of 43/91, 425/40, 761/914 i.e 1/1663480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/91, 425/40, 761/914.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/91,425/40,761/914
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 43/91,425/40,761/914, numerators are 43,425,761
Denominators are 91,40,914
The GCF of 43,425,761 is 1 .
LCM of 91,40,914 is 1663480.
The greatest common factor of 43/91,425/40,761/914 = [GCF of 43,425,761]/[LCM of 91,40,914]= 1/1663480
Therefore, the GCF of 43/91,425/40,761/914 is 1/1663480.
To find the highest common factor of 43,425,761, 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 425 are 1, 5, 17, 25, 85, 425
The factors of 761 are 1, 761
The HCF of 43,425,761 is 1.
Lets's calculate GCF of 43,425,761
∴ 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 425
:1,5,17,25,85,425
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 43,425,761 . The biggest common factor number is the GCF number.
So the greatest common factor 43,425,761 is 1.
Lets's calculate LCM of 91,40,914
2 | 91, 40, 914 |
91, 20, 457 |
∴ So the LCM of the given numbers is 2 x 91 x 20 x 457 = 1663480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1663480
Therefore, the GCF of Fractions 43/91,425/40,761/914 is 1/1663480
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 91,40,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,40,914) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(91,40,914) x common factors =1 x 2 = 2
LCM(91,40,914) = ( 91 × 40 × 914 ) / 2
LCM(91,40,914) = 3326960 / 2
LCM(91,40,914) = 1663480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,425,761?
The HCF of 43,425,761 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 43/91, 425/40, 761/914?
Answer: GCF of Numerators as per given numbers 43/91, 425/40, 761/914 is
GCF of Numerators i.e. for 43,425,761 is 1
LCM of denominators i.e. for 91,40,914 is 1663480.
Thus, GCF of Fractions is 1/1663480.Finally, GCF of Fractions for 43/91, 425/40, 761/914 is 1/1663480.