GCF of 8857/725, 7014/2585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8857/725, 7014/2585 i.e 1/374825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8857/725, 7014/2585.
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 8857/725,7014/2585?
Given fractions are 8857/725,7014/2585
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 8857/725,7014/2585, numerators are 8857,7014
Denominators are 725,2585
The GCF of 8857,7014 is 1 .
LCM of 725,2585 is 374825.
The greatest common factor of 8857/725,7014/2585 = [GCF of 8857,7014]/[LCM of 725,2585]= 1/374825
Therefore, the GCF of 8857/725,7014/2585 is 1/374825.
To find the highest common factor of 8857,7014, we have to find the factors of both numbers and list the highest common factor.
The factors of 8857 are 1, 17, 521, 8857
The factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014
The HCF of 8857,7014 is 1.
Lets's calculate GCF of 8857,7014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8857,7014 By Matching Biggest Common Factor Method
Now, list down the factors of 8857
:1,17,521,8857
Now, list down the factors of 7014
:1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014
Greatest Common Factor
We found the factors 8857,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 8857,7014 is 1.
Lets's calculate LCM of 725,2585
| 5 | 725, 2585 |
| 145, 517 |
∴ So the LCM of the given numbers is 5 x 145 x 517 = 374825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374825
Therefore, the GCF of Fractions 8857/725,7014/2585 is 1/374825
Least Common Multiple of 725,2585 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 725,2585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,2585) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,2585) x common factors =5 x 1 = 5
LCM(725,2585) = ( 725 × 2585 ) / 5
LCM(725,2585) = 1874125 / 5
LCM(725,2585) = 374825
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FAQs on GCF of Fractions of 8857/725, 7014/2585
1. What is the HCF of 8857,7014?
The HCF of 8857,7014 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 8857/725, 7014/2585?
Answer: GCF of Numerators as per given numbers 8857/725, 7014/2585 is
GCF of Numerators i.e. for 8857,7014 is 1
LCM of denominators i.e. for 725,2585 is 374825.
Thus, GCF of Fractions is 1/374825.Finally, GCF of Fractions for 8857/725, 7014/2585 is 1/374825.