GCF of 8574/657, 6461/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8574/657, 6461/365 i.e 1/3285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8574/657, 6461/365.
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 8574/657,6461/365?
Given fractions are 8574/657,6461/365
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 8574/657,6461/365, numerators are 8574,6461
Denominators are 657,365
The GCF of 8574,6461 is 1 .
LCM of 657,365 is 3285.
The greatest common factor of 8574/657,6461/365 = [GCF of 8574,6461]/[LCM of 657,365]= 1/3285
Therefore, the GCF of 8574/657,6461/365 is 1/3285.
To find the highest common factor of 8574,6461, we have to find the factors of both numbers and list the highest common factor.
The factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574
The factors of 6461 are 1, 7, 13, 71, 91, 497, 923, 6461
The HCF of 8574,6461 is 1.
Lets's calculate GCF of 8574,6461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8574,6461 By Matching Biggest Common Factor Method
Now, list down the factors of 8574
:1,2,3,6,1429,2858,4287,8574
Now, list down the factors of 6461
:1,7,13,71,91,497,923,6461
Greatest Common Factor
We found the factors 8574,6461 . The biggest common factor number is the GCF number.
So the greatest common factor 8574,6461 is 1.
Lets's calculate LCM of 657,365
| 73 | 657, 365 |
| 9, 5 |
∴ So the LCM of the given numbers is 73 x 9 x 5 = 3285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3285
Therefore, the GCF of Fractions 8574/657,6461/365 is 1/3285
Least Common Multiple of 657,365 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 657,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,365) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(657,365) x common factors =73 x 1 = 73
LCM(657,365) = ( 657 × 365 ) / 73
LCM(657,365) = 239805 / 73
LCM(657,365) = 3285
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FAQs on GCF of Fractions of 8574/657, 6461/365
1. What is the HCF of 8574,6461?
The HCF of 8574,6461 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 8574/657, 6461/365?
Answer: GCF of Numerators as per given numbers 8574/657, 6461/365 is
GCF of Numerators i.e. for 8574,6461 is 1
LCM of denominators i.e. for 657,365 is 3285.
Thus, GCF of Fractions is 1/3285.Finally, GCF of Fractions for 8574/657, 6461/365 is 1/3285.