GCF of 5955/414, 6234/1482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5955/414, 6234/1482 i.e 3/102258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5955/414, 6234/1482.
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 5955/414,6234/1482?
Given fractions are 5955/414,6234/1482
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 5955/414,6234/1482, numerators are 5955,6234
Denominators are 414,1482
The GCF of 5955,6234 is 3 .
LCM of 414,1482 is 102258.
The greatest common factor of 5955/414,6234/1482 = [GCF of 5955,6234]/[LCM of 414,1482]= 3/102258
Therefore, the GCF of 5955/414,6234/1482 is 3/102258.
To find the highest common factor of 5955,6234, we have to find the factors of both numbers and list the highest common factor.
The factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955
The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234
The HCF of 5955,6234 is 3.
Lets's calculate GCF of 5955,6234
| 3 | 5955, 6234 |
| 1985, 2078 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5955,6234 By Matching Biggest Common Factor Method
Now, list down the factors of 5955
:1,3,5,15,397,1191,1985,5955
Now, list down the factors of 6234
:1,2,3,6,1039,2078,3117,6234
Greatest Common Factor
We found the factors 5955,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 5955,6234 is 3.
Lets's calculate LCM of 414,1482
| 2 | 414, 1482 |
| 3 | 207, 741 |
| 69, 247 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 247 = 102258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102258
Therefore, the GCF of Fractions 5955/414,6234/1482 is 3/102258
Least Common Multiple of 414,1482 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 414,1482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,1482) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,1482) x common factors =6 x 1 = 6
LCM(414,1482) = ( 414 × 1482 ) / 6
LCM(414,1482) = 613548 / 6
LCM(414,1482) = 102258
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FAQs on GCF of Fractions of 5955/414, 6234/1482
1. What is the HCF of 5955,6234?
The HCF of 5955,6234 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 5955/414, 6234/1482?
Answer: GCF of Numerators as per given numbers 5955/414, 6234/1482 is
GCF of Numerators i.e. for 5955,6234 is 3
LCM of denominators i.e. for 414,1482 is 102258.
Thus, GCF of Fractions is 3/102258.Finally, GCF of Fractions for 5955/414, 6234/1482 is 3/102258.