GCF of 5211/339, 8694/3374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5211/339, 8694/3374 i.e 27/1143786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5211/339, 8694/3374.
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 5211/339,8694/3374?
Given fractions are 5211/339,8694/3374
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 5211/339,8694/3374, numerators are 5211,8694
Denominators are 339,3374
The GCF of 5211,8694 is 27 .
LCM of 339,3374 is 1143786.
The greatest common factor of 5211/339,8694/3374 = [GCF of 5211,8694]/[LCM of 339,3374]= 27/1143786
Therefore, the GCF of 5211/339,8694/3374 is 27/1143786.
To find the highest common factor of 5211,8694, we have to find the factors of both numbers and list the highest common factor.
The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The HCF of 5211,8694 is 27.
Lets's calculate GCF of 5211,8694
| 3 | 5211, 8694 |
| 3 | 1737, 2898 |
| 3 | 579, 966 |
| 193, 322 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5211,8694 By Matching Biggest Common Factor Method
Now, list down the factors of 5211
:1,3,9,27,193,579,1737,5211
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 5211,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 5211,8694 is 27.
Lets's calculate LCM of 339,3374
Given numbers has no common factors except 1. So, there LCM is their product i.e 1143786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1143786
Therefore, the GCF of Fractions 5211/339,8694/3374 is 27/1143786
Least Common Multiple of 339,3374 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 339,3374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,3374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,3374) x common factors =1 x 1 = 1
LCM(339,3374) = ( 339 × 3374 ) / 1
LCM(339,3374) = 1143786 / 1
LCM(339,3374) = 1143786
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FAQs on GCF of Fractions of 5211/339, 8694/3374
1. What is the HCF of 5211,8694?
The HCF of 5211,8694 is 27
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 5211/339, 8694/3374?
Answer: GCF of Numerators as per given numbers 5211/339, 8694/3374 is
GCF of Numerators i.e. for 5211,8694 is 27
LCM of denominators i.e. for 339,3374 is 1143786.
Thus, GCF of Fractions is 27/1143786.Finally, GCF of Fractions for 5211/339, 8694/3374 is 27/1143786.