GCF of 3227/915, 4131/8020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3227/915, 4131/8020 i.e 1/1467660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3227/915, 4131/8020.
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 3227/915,4131/8020?
Given fractions are 3227/915,4131/8020
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 3227/915,4131/8020, numerators are 3227,4131
Denominators are 915,8020
The GCF of 3227,4131 is 1 .
LCM of 915,8020 is 1467660.
The greatest common factor of 3227/915,4131/8020 = [GCF of 3227,4131]/[LCM of 915,8020]= 1/1467660
Therefore, the GCF of 3227/915,4131/8020 is 1/1467660.
To find the highest common factor of 3227,4131, we have to find the factors of both numbers and list the highest common factor.
The factors of 3227 are 1, 7, 461, 3227
The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
The HCF of 3227,4131 is 1.
Lets's calculate GCF of 3227,4131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3227,4131 By Matching Biggest Common Factor Method
Now, list down the factors of 3227
:1,7,461,3227
Now, list down the factors of 4131
:1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors 3227,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 3227,4131 is 1.
Lets's calculate LCM of 915,8020
| 5 | 915, 8020 |
| 183, 1604 |
∴ So the LCM of the given numbers is 5 x 183 x 1604 = 1467660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1467660
Therefore, the GCF of Fractions 3227/915,4131/8020 is 1/1467660
Least Common Multiple of 915,8020 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 915,8020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,8020) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(915,8020) x common factors =5 x 1 = 5
LCM(915,8020) = ( 915 × 8020 ) / 5
LCM(915,8020) = 7338300 / 5
LCM(915,8020) = 1467660
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FAQs on GCF of Fractions of 3227/915, 4131/8020
1. What is the HCF of 3227,4131?
The HCF of 3227,4131 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 3227/915, 4131/8020?
Answer: GCF of Numerators as per given numbers 3227/915, 4131/8020 is
GCF of Numerators i.e. for 3227,4131 is 1
LCM of denominators i.e. for 915,8020 is 1467660.
Thus, GCF of Fractions is 1/1467660.Finally, GCF of Fractions for 3227/915, 4131/8020 is 1/1467660.