GCF of 8965/799, 5621/8889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8965/799, 5621/8889 i.e 11/7102311 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8965/799, 5621/8889.
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 8965/799,5621/8889?
Given fractions are 8965/799,5621/8889
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 8965/799,5621/8889, numerators are 8965,5621
Denominators are 799,8889
The GCF of 8965,5621 is 11 .
LCM of 799,8889 is 7102311.
The greatest common factor of 8965/799,5621/8889 = [GCF of 8965,5621]/[LCM of 799,8889]= 11/7102311
Therefore, the GCF of 8965/799,5621/8889 is 11/7102311.
To find the highest common factor of 8965,5621, we have to find the factors of both numbers and list the highest common factor.
The factors of 8965 are 1, 5, 11, 55, 163, 815, 1793, 8965
The factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621
The HCF of 8965,5621 is 11.
Lets's calculate GCF of 8965,5621
| 11 | 8965, 5621 |
| 815, 511 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8965,5621 By Matching Biggest Common Factor Method
Now, list down the factors of 8965
:1,5,11,55,163,815,1793,8965
Now, list down the factors of 5621
:1,7,11,73,77,511,803,5621
Greatest Common Factor
We found the factors 8965,5621 . The biggest common factor number is the GCF number.
So the greatest common factor 8965,5621 is 11.
Lets's calculate LCM of 799,8889
Given numbers has no common factors except 1. So, there LCM is their product i.e 7102311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7102311
Therefore, the GCF of Fractions 8965/799,5621/8889 is 11/7102311
Least Common Multiple of 799,8889 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 799,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,8889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,8889) x common factors =1 x 1 = 1
LCM(799,8889) = ( 799 × 8889 ) / 1
LCM(799,8889) = 7102311 / 1
LCM(799,8889) = 7102311
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FAQs on GCF of Fractions of 8965/799, 5621/8889
1. What is the HCF of 8965,5621?
The HCF of 8965,5621 is 11
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 8965/799, 5621/8889?
Answer: GCF of Numerators as per given numbers 8965/799, 5621/8889 is
GCF of Numerators i.e. for 8965,5621 is 11
LCM of denominators i.e. for 799,8889 is 7102311.
Thus, GCF of Fractions is 11/7102311.Finally, GCF of Fractions for 8965/799, 5621/8889 is 11/7102311.