GCF of 7165/285, 8662/4128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7165/285, 8662/4128 i.e 1/392160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7165/285, 8662/4128.
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 7165/285,8662/4128?
Given fractions are 7165/285,8662/4128
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 7165/285,8662/4128, numerators are 7165,8662
Denominators are 285,4128
The GCF of 7165,8662 is 1 .
LCM of 285,4128 is 392160.
The greatest common factor of 7165/285,8662/4128 = [GCF of 7165,8662]/[LCM of 285,4128]= 1/392160
Therefore, the GCF of 7165/285,8662/4128 is 1/392160.
To find the highest common factor of 7165,8662, we have to find the factors of both numbers and list the highest common factor.
The factors of 7165 are 1, 5, 1433, 7165
The factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662
The HCF of 7165,8662 is 1.
Lets's calculate GCF of 7165,8662
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7165,8662 By Matching Biggest Common Factor Method
Now, list down the factors of 7165
:1,5,1433,7165
Now, list down the factors of 8662
:1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 7165,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 7165,8662 is 1.
Lets's calculate LCM of 285,4128
| 3 | 285, 4128 |
| 95, 1376 |
∴ So the LCM of the given numbers is 3 x 95 x 1376 = 392160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392160
Therefore, the GCF of Fractions 7165/285,8662/4128 is 1/392160
Least Common Multiple of 285,4128 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 285,4128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,4128) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,4128) x common factors =3 x 1 = 3
LCM(285,4128) = ( 285 × 4128 ) / 3
LCM(285,4128) = 1176480 / 3
LCM(285,4128) = 392160
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FAQs on GCF of Fractions of 7165/285, 8662/4128
1. What is the HCF of 7165,8662?
The HCF of 7165,8662 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 7165/285, 8662/4128?
Answer: GCF of Numerators as per given numbers 7165/285, 8662/4128 is
GCF of Numerators i.e. for 7165,8662 is 1
LCM of denominators i.e. for 285,4128 is 392160.
Thus, GCF of Fractions is 1/392160.Finally, GCF of Fractions for 7165/285, 8662/4128 is 1/392160.