GCF of 6531/646, 6497/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6531/646, 6497/418 i.e 1/7106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6531/646, 6497/418.
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 6531/646,6497/418?
Given fractions are 6531/646,6497/418
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 6531/646,6497/418, numerators are 6531,6497
Denominators are 646,418
The GCF of 6531,6497 is 1 .
LCM of 646,418 is 7106.
The greatest common factor of 6531/646,6497/418 = [GCF of 6531,6497]/[LCM of 646,418]= 1/7106
Therefore, the GCF of 6531/646,6497/418 is 1/7106.
To find the highest common factor of 6531,6497, 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 6497 are 1, 73, 89, 6497
The HCF of 6531,6497 is 1.
Lets's calculate GCF of 6531,6497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6531,6497 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 6497
:1,73,89,6497
Greatest Common Factor
We found the factors 6531,6497 . The biggest common factor number is the GCF number.
So the greatest common factor 6531,6497 is 1.
Lets's calculate LCM of 646,418
| 2 | 646, 418 |
| 19 | 323, 209 |
| 17, 11 |
∴ So the LCM of the given numbers is 2 x 19 x 17 x 11 = 7106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7106
Therefore, the GCF of Fractions 6531/646,6497/418 is 1/7106
Least Common Multiple of 646,418 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 646,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,418) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(646,418) x common factors =38 x 1 = 38
LCM(646,418) = ( 646 × 418 ) / 38
LCM(646,418) = 270028 / 38
LCM(646,418) = 7106
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FAQs on GCF of Fractions of 6531/646, 6497/418
1. What is the HCF of 6531,6497?
The HCF of 6531,6497 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 6531/646, 6497/418?
Answer: GCF of Numerators as per given numbers 6531/646, 6497/418 is
GCF of Numerators i.e. for 6531,6497 is 1
LCM of denominators i.e. for 646,418 is 7106.
Thus, GCF of Fractions is 1/7106.Finally, GCF of Fractions for 6531/646, 6497/418 is 1/7106.