GCF of 8501/884, 8566/3858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8501/884, 8566/3858 i.e 1/1705236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8501/884, 8566/3858.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8501/884,8566/3858?
Given fractions are 8501/884,8566/3858
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 8501/884,8566/3858, numerators are 8501,8566
Denominators are 884,3858
The GCF of 8501,8566 is 1 .
LCM of 884,3858 is 1705236.
The greatest common factor of 8501/884,8566/3858 = [GCF of 8501,8566]/[LCM of 884,3858]= 1/1705236
Therefore, the GCF of 8501/884,8566/3858 is 1/1705236.
To find the highest common factor of 8501,8566, we have to find the factors of both numbers and list the highest common factor.
The factors of 8501 are 1, 8501
The factors of 8566 are 1, 2, 4283, 8566
The HCF of 8501,8566 is 1.
Lets's calculate GCF of 8501,8566
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8501,8566 By Matching Biggest Common Factor Method
Now, list down the factors of 8501
:1,8501
Now, list down the factors of 8566
:1,2,4283,8566
Greatest Common Factor
We found the factors 8501,8566 . The biggest common factor number is the GCF number.
So the greatest common factor 8501,8566 is 1.
Lets's calculate LCM of 884,3858
| 2 | 884, 3858 |
| 442, 1929 |
∴ So the LCM of the given numbers is 2 x 442 x 1929 = 1705236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705236
Therefore, the GCF of Fractions 8501/884,8566/3858 is 1/1705236
Least Common Multiple of 884,3858 with GCF Formula
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 884,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,3858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(884,3858) x common factors =2 x 1 = 2
LCM(884,3858) = ( 884 × 3858 ) / 2
LCM(884,3858) = 3410472 / 2
LCM(884,3858) = 1705236
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FAQs on GCF of Fractions of 8501/884, 8566/3858
1. What is the HCF of 8501,8566?
The HCF of 8501,8566 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 8501/884, 8566/3858?
Answer: GCF of Numerators as per given numbers 8501/884, 8566/3858 is
GCF of Numerators i.e. for 8501,8566 is 1
LCM of denominators i.e. for 884,3858 is 1705236.
Thus, GCF of Fractions is 1/1705236.Finally, GCF of Fractions for 8501/884, 8566/3858 is 1/1705236.