GCF of 6754/138, 4384/9958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6754/138, 4384/9958 i.e 2/687102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6754/138, 4384/9958.
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 6754/138,4384/9958?
Given fractions are 6754/138,4384/9958
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 6754/138,4384/9958, numerators are 6754,4384
Denominators are 138,9958
The GCF of 6754,4384 is 2 .
LCM of 138,9958 is 687102.
The greatest common factor of 6754/138,4384/9958 = [GCF of 6754,4384]/[LCM of 138,9958]= 2/687102
Therefore, the GCF of 6754/138,4384/9958 is 2/687102.
To find the highest common factor of 6754,4384, we have to find the factors of both numbers and list the highest common factor.
The factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754
The factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
The HCF of 6754,4384 is 2.
Lets's calculate GCF of 6754,4384
| 2 | 6754, 4384 |
| 3377, 2192 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6754,4384 By Matching Biggest Common Factor Method
Now, list down the factors of 6754
:1,2,11,22,307,614,3377,6754
Now, list down the factors of 4384
:1,2,4,8,16,32,137,274,548,1096,2192,4384
Greatest Common Factor
We found the factors 6754,4384 . The biggest common factor number is the GCF number.
So the greatest common factor 6754,4384 is 2.
Lets's calculate LCM of 138,9958
| 2 | 138, 9958 |
| 69, 4979 |
∴ So the LCM of the given numbers is 2 x 69 x 4979 = 687102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/687102
Therefore, the GCF of Fractions 6754/138,4384/9958 is 2/687102
Least Common Multiple of 138,9958 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 138,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,9958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,9958) x common factors =2 x 1 = 2
LCM(138,9958) = ( 138 × 9958 ) / 2
LCM(138,9958) = 1374204 / 2
LCM(138,9958) = 687102
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FAQs on GCF of Fractions of 6754/138, 4384/9958
1. What is the HCF of 6754,4384?
The HCF of 6754,4384 is 2
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 6754/138, 4384/9958?
Answer: GCF of Numerators as per given numbers 6754/138, 4384/9958 is
GCF of Numerators i.e. for 6754,4384 is 2
LCM of denominators i.e. for 138,9958 is 687102.
Thus, GCF of Fractions is 2/687102.Finally, GCF of Fractions for 6754/138, 4384/9958 is 2/687102.