GCF of 7265/185, 3132/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7265/185, 3132/2146 i.e 1/10730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7265/185, 3132/2146.
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 7265/185,3132/2146?
Given fractions are 7265/185,3132/2146
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 7265/185,3132/2146, numerators are 7265,3132
Denominators are 185,2146
The GCF of 7265,3132 is 1 .
LCM of 185,2146 is 10730.
The greatest common factor of 7265/185,3132/2146 = [GCF of 7265,3132]/[LCM of 185,2146]= 1/10730
Therefore, the GCF of 7265/185,3132/2146 is 1/10730.
To find the highest common factor of 7265,3132, we have to find the factors of both numbers and list the highest common factor.
The factors of 7265 are 1, 5, 1453, 7265
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
The HCF of 7265,3132 is 1.
Lets's calculate GCF of 7265,3132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7265,3132 By Matching Biggest Common Factor Method
Now, list down the factors of 7265
:1,5,1453,7265
Now, list down the factors of 3132
:1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Greatest Common Factor
We found the factors 7265,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 7265,3132 is 1.
Lets's calculate LCM of 185,2146
| 37 | 185, 2146 |
| 5, 58 |
∴ So the LCM of the given numbers is 37 x 5 x 58 = 10730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10730
Therefore, the GCF of Fractions 7265/185,3132/2146 is 1/10730
Least Common Multiple of 185,2146 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 185,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,2146) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(185,2146) x common factors =37 x 1 = 37
LCM(185,2146) = ( 185 × 2146 ) / 37
LCM(185,2146) = 397010 / 37
LCM(185,2146) = 10730
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FAQs on GCF of Fractions of 7265/185, 3132/2146
1. What is the HCF of 7265,3132?
The HCF of 7265,3132 is 1
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 7265/185, 3132/2146?
Answer: GCF of Numerators as per given numbers 7265/185, 3132/2146 is
GCF of Numerators i.e. for 7265,3132 is 1
LCM of denominators i.e. for 185,2146 is 10730.
Thus, GCF of Fractions is 1/10730.Finally, GCF of Fractions for 7265/185, 3132/2146 is 1/10730.