Use our free GCF of Fractions Calculator tool to compute the GCF of 865/879, 421/929 i.e 1/816591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 865/879, 421/929.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 865/879,421/929
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 865/879,421/929, numerators are 865,421
Denominators are 879,929
The GCF of 865,421 is 1 .
LCM of 879,929 is 816591.
The greatest common factor of 865/879,421/929 = [GCF of 865,421]/[LCM of 879,929]= 1/816591
Therefore, the GCF of 865/879,421/929 is 1/816591.
To find the highest common factor of 865,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 865 are 1, 5, 173, 865
The factors of 421 are 1, 421
The HCF of 865,421 is 1.
Lets's calculate GCF of 865,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 865
:1,5,173,865
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 865,421 . The biggest common factor number is the GCF number.
So the greatest common factor 865,421 is 1.
Lets's calculate LCM of 879,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 816591
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/816591
Therefore, the GCF of Fractions 865/879,421/929 is 1/816591
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 879,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,929) x common factors =1 x 1 = 1
LCM(879,929) = ( 879 × 929 ) / 1
LCM(879,929) = 816591 / 1
LCM(879,929) = 816591
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 865,421?
The HCF of 865,421 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 865/879, 421/929?
Answer: GCF of Numerators as per given numbers 865/879, 421/929 is
GCF of Numerators i.e. for 865,421 is 1
LCM of denominators i.e. for 879,929 is 816591.
Thus, GCF of Fractions is 1/816591.Finally, GCF of Fractions for 865/879, 421/929 is 1/816591.