GCF of 6555/134, 5154/3846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6555/134, 5154/3846 i.e 3/257682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6555/134, 5154/3846.
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 6555/134,5154/3846?
Given fractions are 6555/134,5154/3846
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 6555/134,5154/3846, numerators are 6555,5154
Denominators are 134,3846
The GCF of 6555,5154 is 3 .
LCM of 134,3846 is 257682.
The greatest common factor of 6555/134,5154/3846 = [GCF of 6555,5154]/[LCM of 134,3846]= 3/257682
Therefore, the GCF of 6555/134,5154/3846 is 3/257682.
To find the highest common factor of 6555,5154, we have to find the factors of both numbers and list the highest common factor.
The factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555
The factors of 5154 are 1, 2, 3, 6, 859, 1718, 2577, 5154
The HCF of 6555,5154 is 3.
Lets's calculate GCF of 6555,5154
| 3 | 6555, 5154 |
| 2185, 1718 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6555,5154 By Matching Biggest Common Factor Method
Now, list down the factors of 6555
:1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555
Now, list down the factors of 5154
:1,2,3,6,859,1718,2577,5154
Greatest Common Factor
We found the factors 6555,5154 . The biggest common factor number is the GCF number.
So the greatest common factor 6555,5154 is 3.
Lets's calculate LCM of 134,3846
| 2 | 134, 3846 |
| 67, 1923 |
∴ So the LCM of the given numbers is 2 x 67 x 1923 = 257682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/257682
Therefore, the GCF of Fractions 6555/134,5154/3846 is 3/257682
Least Common Multiple of 134,3846 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 134,3846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,3846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,3846) x common factors =2 x 1 = 2
LCM(134,3846) = ( 134 × 3846 ) / 2
LCM(134,3846) = 515364 / 2
LCM(134,3846) = 257682
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FAQs on GCF of Fractions of 6555/134, 5154/3846
1. What is the HCF of 6555,5154?
The HCF of 6555,5154 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 6555/134, 5154/3846?
Answer: GCF of Numerators as per given numbers 6555/134, 5154/3846 is
GCF of Numerators i.e. for 6555,5154 is 3
LCM of denominators i.e. for 134,3846 is 257682.
Thus, GCF of Fractions is 3/257682.Finally, GCF of Fractions for 6555/134, 5154/3846 is 3/257682.