GCF of 8983/889, 1885/8226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8983/889, 1885/8226 i.e 13/7312914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8983/889, 1885/8226.
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 8983/889,1885/8226?
Given fractions are 8983/889,1885/8226
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 8983/889,1885/8226, numerators are 8983,1885
Denominators are 889,8226
The GCF of 8983,1885 is 13 .
LCM of 889,8226 is 7312914.
The greatest common factor of 8983/889,1885/8226 = [GCF of 8983,1885]/[LCM of 889,8226]= 13/7312914
Therefore, the GCF of 8983/889,1885/8226 is 13/7312914.
To find the highest common factor of 8983,1885, we have to find the factors of both numbers and list the highest common factor.
The factors of 8983 are 1, 13, 691, 8983
The factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885
The HCF of 8983,1885 is 13.
Lets's calculate GCF of 8983,1885
| 13 | 8983, 1885 |
| 691, 145 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8983,1885 By Matching Biggest Common Factor Method
Now, list down the factors of 8983
:1,13,691,8983
Now, list down the factors of 1885
:1,5,13,29,65,145,377,1885
Greatest Common Factor
We found the factors 8983,1885 . The biggest common factor number is the GCF number.
So the greatest common factor 8983,1885 is 13.
Lets's calculate LCM of 889,8226
Given numbers has no common factors except 1. So, there LCM is their product i.e 7312914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7312914
Therefore, the GCF of Fractions 8983/889,1885/8226 is 13/7312914
Least Common Multiple of 889,8226 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 889,8226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,8226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,8226) x common factors =1 x 1 = 1
LCM(889,8226) = ( 889 × 8226 ) / 1
LCM(889,8226) = 7312914 / 1
LCM(889,8226) = 7312914
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FAQs on GCF of Fractions of 8983/889, 1885/8226
1. What is the HCF of 8983,1885?
The HCF of 8983,1885 is 13
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 8983/889, 1885/8226?
Answer: GCF of Numerators as per given numbers 8983/889, 1885/8226 is
GCF of Numerators i.e. for 8983,1885 is 13
LCM of denominators i.e. for 889,8226 is 7312914.
Thus, GCF of Fractions is 13/7312914.Finally, GCF of Fractions for 8983/889, 1885/8226 is 13/7312914.