GCF of 3655/372, 8127/9846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3655/372, 8127/9846 i.e 43/610452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3655/372, 8127/9846.
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 3655/372,8127/9846?
Given fractions are 3655/372,8127/9846
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 3655/372,8127/9846, numerators are 3655,8127
Denominators are 372,9846
The GCF of 3655,8127 is 43 .
LCM of 372,9846 is 610452.
The greatest common factor of 3655/372,8127/9846 = [GCF of 3655,8127]/[LCM of 372,9846]= 43/610452
Therefore, the GCF of 3655/372,8127/9846 is 43/610452.
To find the highest common factor of 3655,8127, we have to find the factors of both numbers and list the highest common factor.
The factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655
The factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127
The HCF of 3655,8127 is 43.
Lets's calculate GCF of 3655,8127
| 43 | 3655, 8127 |
| 85, 189 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 3655,8127 By Matching Biggest Common Factor Method
Now, list down the factors of 3655
:1,5,17,43,85,215,731,3655
Now, list down the factors of 8127
:1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127
Greatest Common Factor
We found the factors 3655,8127 . The biggest common factor number is the GCF number.
So the greatest common factor 3655,8127 is 43.
Lets's calculate LCM of 372,9846
| 2 | 372, 9846 |
| 3 | 186, 4923 |
| 62, 1641 |
∴ So the LCM of the given numbers is 2 x 3 x 62 x 1641 = 610452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/610452
Therefore, the GCF of Fractions 3655/372,8127/9846 is 43/610452
Least Common Multiple of 372,9846 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 372,9846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,9846) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(372,9846) x common factors =6 x 1 = 6
LCM(372,9846) = ( 372 × 9846 ) / 6
LCM(372,9846) = 3662712 / 6
LCM(372,9846) = 610452
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FAQs on GCF of Fractions of 3655/372, 8127/9846
1. What is the HCF of 3655,8127?
The HCF of 3655,8127 is 43
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 3655/372, 8127/9846?
Answer: GCF of Numerators as per given numbers 3655/372, 8127/9846 is
GCF of Numerators i.e. for 3655,8127 is 43
LCM of denominators i.e. for 372,9846 is 610452.
Thus, GCF of Fractions is 43/610452.Finally, GCF of Fractions for 3655/372, 8127/9846 is 43/610452.