Use our free GCF of Fractions Calculator tool to compute the GCF of 8234/788, 8801/9607 i.e 1/7570316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8234/788, 8801/9607.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8234/788,8801/9607
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 8234/788,8801/9607, numerators are 8234,8801
Denominators are 788,9607
The GCF of 8234,8801 is 1 .
LCM of 788,9607 is 7570316.
The greatest common factor of 8234/788,8801/9607 = [GCF of 8234,8801]/[LCM of 788,9607]= 1/7570316
Therefore, the GCF of 8234/788,8801/9607 is 1/7570316.
To find the highest common factor of 8234,8801, we have to find the factors of both numbers and list the highest common factor.
The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234
The factors of 8801 are 1, 13, 677, 8801
The HCF of 8234,8801 is 1.
Lets's calculate GCF of 8234,8801
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8234
:1,2,23,46,179,358,4117,8234
Now, list down the factors of 8801
:1,13,677,8801
Greatest Common Factor
We found the factors 8234,8801 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,8801 is 1.
Lets's calculate LCM of 788,9607
Given numbers has no common factors except 1. So, there LCM is their product i.e 7570316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7570316
Therefore, the GCF of Fractions 8234/788,8801/9607 is 1/7570316
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 788,9607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,9607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,9607) x common factors =1 x 1 = 1
LCM(788,9607) = ( 788 × 9607 ) / 1
LCM(788,9607) = 7570316 / 1
LCM(788,9607) = 7570316
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8234,8801?
The HCF of 8234,8801 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 8234/788, 8801/9607?
Answer: GCF of Numerators as per given numbers 8234/788, 8801/9607 is
GCF of Numerators i.e. for 8234,8801 is 1
LCM of denominators i.e. for 788,9607 is 7570316.
Thus, GCF of Fractions is 1/7570316.Finally, GCF of Fractions for 8234/788, 8801/9607 is 1/7570316.