Use our free GCF of Fractions Calculator tool to compute the GCF of 886/69, 941/429 i.e 1/9867 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/69, 941/429.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/69,941/429
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 886/69,941/429, numerators are 886,941
Denominators are 69,429
The GCF of 886,941 is 1 .
LCM of 69,429 is 9867.
The greatest common factor of 886/69,941/429 = [GCF of 886,941]/[LCM of 69,429]= 1/9867
Therefore, the GCF of 886/69,941/429 is 1/9867.
To find the highest common factor of 886,941, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 941 are 1, 941
The HCF of 886,941 is 1.
Lets's calculate GCF of 886,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 941
:1,941
Greatest Common Factor
We found the factors 886,941 . The biggest common factor number is the GCF number.
So the greatest common factor 886,941 is 1.
Lets's calculate LCM of 69,429
3 | 69, 429 |
23, 143 |
∴ So the LCM of the given numbers is 3 x 23 x 143 = 9867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9867
Therefore, the GCF of Fractions 886/69,941/429 is 1/9867
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 69,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,429) x common factors =3 x 1 = 3
LCM(69,429) = ( 69 × 429 ) / 3
LCM(69,429) = 29601 / 3
LCM(69,429) = 9867
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,941?
The HCF of 886,941 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 886/69, 941/429?
Answer: GCF of Numerators as per given numbers 886/69, 941/429 is
GCF of Numerators i.e. for 886,941 is 1
LCM of denominators i.e. for 69,429 is 9867.
Thus, GCF of Fractions is 1/9867.Finally, GCF of Fractions for 886/69, 941/429 is 1/9867.