GCF of 5901/351, 6531/7131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5901/351, 6531/7131 i.e 21/834327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5901/351, 6531/7131.
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 5901/351,6531/7131?
Given fractions are 5901/351,6531/7131
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 5901/351,6531/7131, numerators are 5901,6531
Denominators are 351,7131
The GCF of 5901,6531 is 21 .
LCM of 351,7131 is 834327.
The greatest common factor of 5901/351,6531/7131 = [GCF of 5901,6531]/[LCM of 351,7131]= 21/834327
Therefore, the GCF of 5901/351,6531/7131 is 21/834327.
To find the highest common factor of 5901,6531, we have to find the factors of both numbers and list the highest common factor.
The factors of 5901 are 1, 3, 7, 21, 281, 843, 1967, 5901
The factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531
The HCF of 5901,6531 is 21.
Lets's calculate GCF of 5901,6531
| 3 | 5901, 6531 |
| 7 | 1967, 2177 |
| 281, 311 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 5901,6531 By Matching Biggest Common Factor Method
Now, list down the factors of 5901
:1,3,7,21,281,843,1967,5901
Now, list down the factors of 6531
:1,3,7,21,311,933,2177,6531
Greatest Common Factor
We found the factors 5901,6531 . The biggest common factor number is the GCF number.
So the greatest common factor 5901,6531 is 21.
Lets's calculate LCM of 351,7131
| 3 | 351, 7131 |
| 117, 2377 |
∴ So the LCM of the given numbers is 3 x 117 x 2377 = 834327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/834327
Therefore, the GCF of Fractions 5901/351,6531/7131 is 21/834327
Least Common Multiple of 351,7131 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 351,7131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,7131) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,7131) x common factors =3 x 1 = 3
LCM(351,7131) = ( 351 × 7131 ) / 3
LCM(351,7131) = 2502981 / 3
LCM(351,7131) = 834327
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FAQs on GCF of Fractions of 5901/351, 6531/7131
1. What is the HCF of 5901,6531?
The HCF of 5901,6531 is 21
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 5901/351, 6531/7131?
Answer: GCF of Numerators as per given numbers 5901/351, 6531/7131 is
GCF of Numerators i.e. for 5901,6531 is 21
LCM of denominators i.e. for 351,7131 is 834327.
Thus, GCF of Fractions is 21/834327.Finally, GCF of Fractions for 5901/351, 6531/7131 is 21/834327.