GCF of 8533/342, 2730/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8533/342, 2730/166 i.e 7/28386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8533/342, 2730/166.
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 8533/342,2730/166?
Given fractions are 8533/342,2730/166
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 8533/342,2730/166, numerators are 8533,2730
Denominators are 342,166
The GCF of 8533,2730 is 7 .
LCM of 342,166 is 28386.
The greatest common factor of 8533/342,2730/166 = [GCF of 8533,2730]/[LCM of 342,166]= 7/28386
Therefore, the GCF of 8533/342,2730/166 is 7/28386.
To find the highest common factor of 8533,2730, we have to find the factors of both numbers and list the highest common factor.
The factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533
The factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730
The HCF of 8533,2730 is 7.
Lets's calculate GCF of 8533,2730
| 7 | 8533, 2730 |
| 1219, 390 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8533,2730 By Matching Biggest Common Factor Method
Now, list down the factors of 8533
:1,7,23,53,161,371,1219,8533
Now, list down the factors of 2730
:1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Greatest Common Factor
We found the factors 8533,2730 . The biggest common factor number is the GCF number.
So the greatest common factor 8533,2730 is 7.
Lets's calculate LCM of 342,166
| 2 | 342, 166 |
| 171, 83 |
∴ So the LCM of the given numbers is 2 x 171 x 83 = 28386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/28386
Therefore, the GCF of Fractions 8533/342,2730/166 is 7/28386
Least Common Multiple of 342,166 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 342,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,166) x common factors =2 x 1 = 2
LCM(342,166) = ( 342 × 166 ) / 2
LCM(342,166) = 56772 / 2
LCM(342,166) = 28386
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FAQs on GCF of Fractions of 8533/342, 2730/166
1. What is the HCF of 8533,2730?
The HCF of 8533,2730 is 7
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 8533/342, 2730/166?
Answer: GCF of Numerators as per given numbers 8533/342, 2730/166 is
GCF of Numerators i.e. for 8533,2730 is 7
LCM of denominators i.e. for 342,166 is 28386.
Thus, GCF of Fractions is 7/28386.Finally, GCF of Fractions for 8533/342, 2730/166 is 7/28386.