GCF of 6550/465, 5831/7905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6550/465, 5831/7905 i.e 1/7905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6550/465, 5831/7905.
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 6550/465,5831/7905?
Given fractions are 6550/465,5831/7905
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 6550/465,5831/7905, numerators are 6550,5831
Denominators are 465,7905
The GCF of 6550,5831 is 1 .
LCM of 465,7905 is 7905.
The greatest common factor of 6550/465,5831/7905 = [GCF of 6550,5831]/[LCM of 465,7905]= 1/7905
Therefore, the GCF of 6550/465,5831/7905 is 1/7905.
To find the highest common factor of 6550,5831, we have to find the factors of both numbers and list the highest common factor.
The factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550
The factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831
The HCF of 6550,5831 is 1.
Lets's calculate GCF of 6550,5831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6550,5831 By Matching Biggest Common Factor Method
Now, list down the factors of 6550
:1,2,5,10,25,50,131,262,655,1310,3275,6550
Now, list down the factors of 5831
:1,7,17,49,119,343,833,5831
Greatest Common Factor
We found the factors 6550,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 6550,5831 is 1.
Lets's calculate LCM of 465,7905
| 3 | 465, 7905 |
| 5 | 155, 2635 |
| 31 | 31, 527 |
| 1, 17 |
∴ So the LCM of the given numbers is 3 x 5 x 31 x 1 x 17 = 7905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7905
Therefore, the GCF of Fractions 6550/465,5831/7905 is 1/7905
Least Common Multiple of 465,7905 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 465,7905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,7905) = 465
common factors(in case of two or more numbers have common factors) = 1
GCF(465,7905) x common factors =465 x 1 = 465
LCM(465,7905) = ( 465 × 7905 ) / 465
LCM(465,7905) = 3675825 / 465
LCM(465,7905) = 7905
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FAQs on GCF of Fractions of 6550/465, 5831/7905
1. What is the HCF of 6550,5831?
The HCF of 6550,5831 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 6550/465, 5831/7905?
Answer: GCF of Numerators as per given numbers 6550/465, 5831/7905 is
GCF of Numerators i.e. for 6550,5831 is 1
LCM of denominators i.e. for 465,7905 is 7905.
Thus, GCF of Fractions is 1/7905.Finally, GCF of Fractions for 6550/465, 5831/7905 is 1/7905.