GCF of 3087/625, 6165/7173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3087/625, 6165/7173 i.e 9/4483125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3087/625, 6165/7173.
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 3087/625,6165/7173?
Given fractions are 3087/625,6165/7173
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 3087/625,6165/7173, numerators are 3087,6165
Denominators are 625,7173
The GCF of 3087,6165 is 9 .
LCM of 625,7173 is 4483125.
The greatest common factor of 3087/625,6165/7173 = [GCF of 3087,6165]/[LCM of 625,7173]= 9/4483125
Therefore, the GCF of 3087/625,6165/7173 is 9/4483125.
To find the highest common factor of 3087,6165, we have to find the factors of both numbers and list the highest common factor.
The factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The HCF of 3087,6165 is 9.
Lets's calculate GCF of 3087,6165
| 3 | 3087, 6165 |
| 3 | 1029, 2055 |
| 343, 685 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3087,6165 By Matching Biggest Common Factor Method
Now, list down the factors of 3087
:1,3,7,9,21,49,63,147,343,441,1029,3087
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 3087,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 3087,6165 is 9.
Lets's calculate LCM of 625,7173
Given numbers has no common factors except 1. So, there LCM is their product i.e 4483125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4483125
Therefore, the GCF of Fractions 3087/625,6165/7173 is 9/4483125
Least Common Multiple of 625,7173 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 625,7173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,7173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,7173) x common factors =1 x 1 = 1
LCM(625,7173) = ( 625 × 7173 ) / 1
LCM(625,7173) = 4483125 / 1
LCM(625,7173) = 4483125
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FAQs on GCF of Fractions of 3087/625, 6165/7173
1. What is the HCF of 3087,6165?
The HCF of 3087,6165 is 9
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 3087/625, 6165/7173?
Answer: GCF of Numerators as per given numbers 3087/625, 6165/7173 is
GCF of Numerators i.e. for 3087,6165 is 9
LCM of denominators i.e. for 625,7173 is 4483125.
Thus, GCF of Fractions is 9/4483125.Finally, GCF of Fractions for 3087/625, 6165/7173 is 9/4483125.