GCF of 5131/763, 8205/9408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5131/763, 8205/9408 i.e 1/1025472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5131/763, 8205/9408.
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 5131/763,8205/9408?
Given fractions are 5131/763,8205/9408
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 5131/763,8205/9408, numerators are 5131,8205
Denominators are 763,9408
The GCF of 5131,8205 is 1 .
LCM of 763,9408 is 1025472.
The greatest common factor of 5131/763,8205/9408 = [GCF of 5131,8205]/[LCM of 763,9408]= 1/1025472
Therefore, the GCF of 5131/763,8205/9408 is 1/1025472.
To find the highest common factor of 5131,8205, we have to find the factors of both numbers and list the highest common factor.
The factors of 5131 are 1, 7, 733, 5131
The factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205
The HCF of 5131,8205 is 1.
Lets's calculate GCF of 5131,8205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5131,8205 By Matching Biggest Common Factor Method
Now, list down the factors of 5131
:1,7,733,5131
Now, list down the factors of 8205
:1,3,5,15,547,1641,2735,8205
Greatest Common Factor
We found the factors 5131,8205 . The biggest common factor number is the GCF number.
So the greatest common factor 5131,8205 is 1.
Lets's calculate LCM of 763,9408
| 7 | 763, 9408 |
| 109, 1344 |
∴ So the LCM of the given numbers is 7 x 109 x 1344 = 1025472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1025472
Therefore, the GCF of Fractions 5131/763,8205/9408 is 1/1025472
Least Common Multiple of 763,9408 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 763,9408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,9408) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(763,9408) x common factors =7 x 1 = 7
LCM(763,9408) = ( 763 × 9408 ) / 7
LCM(763,9408) = 7178304 / 7
LCM(763,9408) = 1025472
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FAQs on GCF of Fractions of 5131/763, 8205/9408
1. What is the HCF of 5131,8205?
The HCF of 5131,8205 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 5131/763, 8205/9408?
Answer: GCF of Numerators as per given numbers 5131/763, 8205/9408 is
GCF of Numerators i.e. for 5131,8205 is 1
LCM of denominators i.e. for 763,9408 is 1025472.
Thus, GCF of Fractions is 1/1025472.Finally, GCF of Fractions for 5131/763, 8205/9408 is 1/1025472.