GCF of 8646/109, 5526/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8646/109, 5526/765 i.e 6/83385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8646/109, 5526/765.
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 8646/109,5526/765?
Given fractions are 8646/109,5526/765
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 8646/109,5526/765, numerators are 8646,5526
Denominators are 109,765
The GCF of 8646,5526 is 6 .
LCM of 109,765 is 83385.
The greatest common factor of 8646/109,5526/765 = [GCF of 8646,5526]/[LCM of 109,765]= 6/83385
Therefore, the GCF of 8646/109,5526/765 is 6/83385.
To find the highest common factor of 8646,5526, we have to find the factors of both numbers and list the highest common factor.
The factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646
The factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526
The HCF of 8646,5526 is 6.
Lets's calculate GCF of 8646,5526
| 2 | 8646, 5526 |
| 3 | 4323, 2763 |
| 1441, 921 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8646,5526 By Matching Biggest Common Factor Method
Now, list down the factors of 8646
:1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646
Now, list down the factors of 5526
:1,2,3,6,9,18,307,614,921,1842,2763,5526
Greatest Common Factor
We found the factors 8646,5526 . The biggest common factor number is the GCF number.
So the greatest common factor 8646,5526 is 6.
Lets's calculate LCM of 109,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 83385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/83385
Therefore, the GCF of Fractions 8646/109,5526/765 is 6/83385
Least Common Multiple of 109,765 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 109,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,765) x common factors =1 x 1 = 1
LCM(109,765) = ( 109 × 765 ) / 1
LCM(109,765) = 83385 / 1
LCM(109,765) = 83385
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FAQs on GCF of Fractions of 8646/109, 5526/765
1. What is the HCF of 8646,5526?
The HCF of 8646,5526 is 6
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 8646/109, 5526/765?
Answer: GCF of Numerators as per given numbers 8646/109, 5526/765 is
GCF of Numerators i.e. for 8646,5526 is 6
LCM of denominators i.e. for 109,765 is 83385.
Thus, GCF of Fractions is 6/83385.Finally, GCF of Fractions for 8646/109, 5526/765 is 6/83385.