Use our free GCF of Fractions Calculator tool to compute the GCF of 14/751, 41/670, 842/223 i.e 1/112206910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/751, 41/670, 842/223.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/751,41/670,842/223
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 14/751,41/670,842/223, numerators are 14,41,842
Denominators are 751,670,223
The GCF of 14,41,842 is 1 .
LCM of 751,670,223 is 112206910.
The greatest common factor of 14/751,41/670,842/223 = [GCF of 14,41,842]/[LCM of 751,670,223]= 1/112206910
Therefore, the GCF of 14/751,41/670,842/223 is 1/112206910.
To find the highest common factor of 14,41,842, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 41 are 1, 41
The factors of 842 are 1, 2, 421, 842
The HCF of 14,41,842 is 1.
Lets's calculate GCF of 14,41,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 41
:1,41
Now, list down the factors of 842
:1,2,421,842
Greatest Common Factor
We found the factors 14,41,842 . The biggest common factor number is the GCF number.
So the greatest common factor 14,41,842 is 1.
Lets's calculate LCM of 751,670,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 112206910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112206910
Therefore, the GCF of Fractions 14/751,41/670,842/223 is 1/112206910
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 751,670,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,670,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,670,223) x common factors =1 x 1 = 1
LCM(751,670,223) = ( 751 × 670 × 223 ) / 1
LCM(751,670,223) = 112206910 / 1
LCM(751,670,223) = 112206910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,41,842?
The HCF of 14,41,842 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 14/751, 41/670, 842/223?
Answer: GCF of Numerators as per given numbers 14/751, 41/670, 842/223 is
GCF of Numerators i.e. for 14,41,842 is 1
LCM of denominators i.e. for 751,670,223 is 112206910.
Thus, GCF of Fractions is 1/112206910.Finally, GCF of Fractions for 14/751, 41/670, 842/223 is 1/112206910.