GCF of 8646/273, 3459/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8646/273, 3459/211 i.e 3/57603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8646/273, 3459/211.
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 8646/273,3459/211?
Given fractions are 8646/273,3459/211
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 8646/273,3459/211, numerators are 8646,3459
Denominators are 273,211
The GCF of 8646,3459 is 3 .
LCM of 273,211 is 57603.
The greatest common factor of 8646/273,3459/211 = [GCF of 8646,3459]/[LCM of 273,211]= 3/57603
Therefore, the GCF of 8646/273,3459/211 is 3/57603.
To find the highest common factor of 8646,3459, 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 3459 are 1, 3, 1153, 3459
The HCF of 8646,3459 is 3.
Lets's calculate GCF of 8646,3459
| 3 | 8646, 3459 |
| 2882, 1153 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8646,3459 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 3459
:1,3,1153,3459
Greatest Common Factor
We found the factors 8646,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 8646,3459 is 3.
Lets's calculate LCM of 273,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 57603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57603
Therefore, the GCF of Fractions 8646/273,3459/211 is 3/57603
Least Common Multiple of 273,211 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 273,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,211) x common factors =1 x 1 = 1
LCM(273,211) = ( 273 × 211 ) / 1
LCM(273,211) = 57603 / 1
LCM(273,211) = 57603
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FAQs on GCF of Fractions of 8646/273, 3459/211
1. What is the HCF of 8646,3459?
The HCF of 8646,3459 is 3
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 8646/273, 3459/211?
Answer: GCF of Numerators as per given numbers 8646/273, 3459/211 is
GCF of Numerators i.e. for 8646,3459 is 3
LCM of denominators i.e. for 273,211 is 57603.
Thus, GCF of Fractions is 3/57603.Finally, GCF of Fractions for 8646/273, 3459/211 is 3/57603.