GCF of 8583/871, 7689/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8583/871, 7689/809 i.e 3/704639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8583/871, 7689/809.
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 8583/871,7689/809?
Given fractions are 8583/871,7689/809
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 8583/871,7689/809, numerators are 8583,7689
Denominators are 871,809
The GCF of 8583,7689 is 3 .
LCM of 871,809 is 704639.
The greatest common factor of 8583/871,7689/809 = [GCF of 8583,7689]/[LCM of 871,809]= 3/704639
Therefore, the GCF of 8583/871,7689/809 is 3/704639.
To find the highest common factor of 8583,7689, we have to find the factors of both numbers and list the highest common factor.
The factors of 8583 are 1, 3, 2861, 8583
The factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689
The HCF of 8583,7689 is 3.
Lets's calculate GCF of 8583,7689
| 3 | 8583, 7689 |
| 2861, 2563 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8583,7689 By Matching Biggest Common Factor Method
Now, list down the factors of 8583
:1,3,2861,8583
Now, list down the factors of 7689
:1,3,11,33,233,699,2563,7689
Greatest Common Factor
We found the factors 8583,7689 . The biggest common factor number is the GCF number.
So the greatest common factor 8583,7689 is 3.
Lets's calculate LCM of 871,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 704639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/704639
Therefore, the GCF of Fractions 8583/871,7689/809 is 3/704639
Least Common Multiple of 871,809 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 871,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,809) x common factors =1 x 1 = 1
LCM(871,809) = ( 871 × 809 ) / 1
LCM(871,809) = 704639 / 1
LCM(871,809) = 704639
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FAQs on GCF of Fractions of 8583/871, 7689/809
1. What is the HCF of 8583,7689?
The HCF of 8583,7689 is 3
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 8583/871, 7689/809?
Answer: GCF of Numerators as per given numbers 8583/871, 7689/809 is
GCF of Numerators i.e. for 8583,7689 is 3
LCM of denominators i.e. for 871,809 is 704639.
Thus, GCF of Fractions is 3/704639.Finally, GCF of Fractions for 8583/871, 7689/809 is 3/704639.