GCF of 1166/997, 8646/1862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1166/997, 8646/1862 i.e 22/1856414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1166/997, 8646/1862.
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 1166/997,8646/1862?
Given fractions are 1166/997,8646/1862
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 1166/997,8646/1862, numerators are 1166,8646
Denominators are 997,1862
The GCF of 1166,8646 is 22 .
LCM of 997,1862 is 1856414.
The greatest common factor of 1166/997,8646/1862 = [GCF of 1166,8646]/[LCM of 997,1862]= 22/1856414
Therefore, the GCF of 1166/997,8646/1862 is 22/1856414.
To find the highest common factor of 1166,8646, we have to find the factors of both numbers and list the highest common factor.
The factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166
The factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646
The HCF of 1166,8646 is 22.
Lets's calculate GCF of 1166,8646
| 2 | 1166, 8646 |
| 11 | 583, 4323 |
| 53, 393 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 1166,8646 By Matching Biggest Common Factor Method
Now, list down the factors of 1166
:1,2,11,22,53,106,583,1166
Now, list down the factors of 8646
:1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646
Greatest Common Factor
We found the factors 1166,8646 . The biggest common factor number is the GCF number.
So the greatest common factor 1166,8646 is 22.
Lets's calculate LCM of 997,1862
Given numbers has no common factors except 1. So, there LCM is their product i.e 1856414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1856414
Therefore, the GCF of Fractions 1166/997,8646/1862 is 22/1856414
Least Common Multiple of 997,1862 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 997,1862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,1862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,1862) x common factors =1 x 1 = 1
LCM(997,1862) = ( 997 × 1862 ) / 1
LCM(997,1862) = 1856414 / 1
LCM(997,1862) = 1856414
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FAQs on GCF of Fractions of 1166/997, 8646/1862
1. What is the HCF of 1166,8646?
The HCF of 1166,8646 is 22
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 1166/997, 8646/1862?
Answer: GCF of Numerators as per given numbers 1166/997, 8646/1862 is
GCF of Numerators i.e. for 1166,8646 is 22
LCM of denominators i.e. for 997,1862 is 1856414.
Thus, GCF of Fractions is 22/1856414.Finally, GCF of Fractions for 1166/997, 8646/1862 is 22/1856414.