GCF of 6531/472, 3409/7378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6531/472, 3409/7378 i.e 7/1741208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6531/472, 3409/7378.
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 6531/472,3409/7378?
Given fractions are 6531/472,3409/7378
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 6531/472,3409/7378, numerators are 6531,3409
Denominators are 472,7378
The GCF of 6531,3409 is 7 .
LCM of 472,7378 is 1741208.
The greatest common factor of 6531/472,3409/7378 = [GCF of 6531,3409]/[LCM of 472,7378]= 7/1741208
Therefore, the GCF of 6531/472,3409/7378 is 7/1741208.
To find the highest common factor of 6531,3409, we have to find the factors of both numbers and list the highest common factor.
The factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531
The factors of 3409 are 1, 7, 487, 3409
The HCF of 6531,3409 is 7.
Lets's calculate GCF of 6531,3409
| 7 | 6531, 3409 |
| 933, 487 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6531,3409 By Matching Biggest Common Factor Method
Now, list down the factors of 6531
:1,3,7,21,311,933,2177,6531
Now, list down the factors of 3409
:1,7,487,3409
Greatest Common Factor
We found the factors 6531,3409 . The biggest common factor number is the GCF number.
So the greatest common factor 6531,3409 is 7.
Lets's calculate LCM of 472,7378
| 2 | 472, 7378 |
| 236, 3689 |
∴ So the LCM of the given numbers is 2 x 236 x 3689 = 1741208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1741208
Therefore, the GCF of Fractions 6531/472,3409/7378 is 7/1741208
Least Common Multiple of 472,7378 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 472,7378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,7378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,7378) x common factors =2 x 1 = 2
LCM(472,7378) = ( 472 × 7378 ) / 2
LCM(472,7378) = 3482416 / 2
LCM(472,7378) = 1741208
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FAQs on GCF of Fractions of 6531/472, 3409/7378
1. What is the HCF of 6531,3409?
The HCF of 6531,3409 is 7
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 6531/472, 3409/7378?
Answer: GCF of Numerators as per given numbers 6531/472, 3409/7378 is
GCF of Numerators i.e. for 6531,3409 is 7
LCM of denominators i.e. for 472,7378 is 1741208.
Thus, GCF of Fractions is 7/1741208.Finally, GCF of Fractions for 6531/472, 3409/7378 is 7/1741208.