GCF of 8123/109, 7891/1823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8123/109, 7891/1823 i.e 1/198707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8123/109, 7891/1823.
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 8123/109,7891/1823?
Given fractions are 8123/109,7891/1823
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 8123/109,7891/1823, numerators are 8123,7891
Denominators are 109,1823
The GCF of 8123,7891 is 1 .
LCM of 109,1823 is 198707.
The greatest common factor of 8123/109,7891/1823 = [GCF of 8123,7891]/[LCM of 109,1823]= 1/198707
Therefore, the GCF of 8123/109,7891/1823 is 1/198707.
To find the highest common factor of 8123,7891, we have to find the factors of both numbers and list the highest common factor.
The factors of 8123 are 1, 8123
The factors of 7891 are 1, 13, 607, 7891
The HCF of 8123,7891 is 1.
Lets's calculate GCF of 8123,7891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8123,7891 By Matching Biggest Common Factor Method
Now, list down the factors of 8123
:1,8123
Now, list down the factors of 7891
:1,13,607,7891
Greatest Common Factor
We found the factors 8123,7891 . The biggest common factor number is the GCF number.
So the greatest common factor 8123,7891 is 1.
Lets's calculate LCM of 109,1823
Given numbers has no common factors except 1. So, there LCM is their product i.e 198707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198707
Therefore, the GCF of Fractions 8123/109,7891/1823 is 1/198707
Least Common Multiple of 109,1823 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 109,1823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,1823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,1823) x common factors =1 x 1 = 1
LCM(109,1823) = ( 109 × 1823 ) / 1
LCM(109,1823) = 198707 / 1
LCM(109,1823) = 198707
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FAQs on GCF of Fractions of 8123/109, 7891/1823
1. What is the HCF of 8123,7891?
The HCF of 8123,7891 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 8123/109, 7891/1823?
Answer: GCF of Numerators as per given numbers 8123/109, 7891/1823 is
GCF of Numerators i.e. for 8123,7891 is 1
LCM of denominators i.e. for 109,1823 is 198707.
Thus, GCF of Fractions is 1/198707.Finally, GCF of Fractions for 8123/109, 7891/1823 is 1/198707.