GCF of 9182/265, 3510/1077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9182/265, 3510/1077 i.e 2/285405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9182/265, 3510/1077.
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 9182/265,3510/1077?
Given fractions are 9182/265,3510/1077
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 9182/265,3510/1077, numerators are 9182,3510
Denominators are 265,1077
The GCF of 9182,3510 is 2 .
LCM of 265,1077 is 285405.
The greatest common factor of 9182/265,3510/1077 = [GCF of 9182,3510]/[LCM of 265,1077]= 2/285405
Therefore, the GCF of 9182/265,3510/1077 is 2/285405.
To find the highest common factor of 9182,3510, we have to find the factors of both numbers and list the highest common factor.
The factors of 9182 are 1, 2, 4591, 9182
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510
The HCF of 9182,3510 is 2.
Lets's calculate GCF of 9182,3510
| 2 | 9182, 3510 |
| 4591, 1755 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9182,3510 By Matching Biggest Common Factor Method
Now, list down the factors of 9182
:1,2,4591,9182
Now, list down the factors of 3510
:1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510
Greatest Common Factor
We found the factors 9182,3510 . The biggest common factor number is the GCF number.
So the greatest common factor 9182,3510 is 2.
Lets's calculate LCM of 265,1077
Given numbers has no common factors except 1. So, there LCM is their product i.e 285405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/285405
Therefore, the GCF of Fractions 9182/265,3510/1077 is 2/285405
Least Common Multiple of 265,1077 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 265,1077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,1077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,1077) x common factors =1 x 1 = 1
LCM(265,1077) = ( 265 × 1077 ) / 1
LCM(265,1077) = 285405 / 1
LCM(265,1077) = 285405
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FAQs on GCF of Fractions of 9182/265, 3510/1077
1. What is the HCF of 9182,3510?
The HCF of 9182,3510 is 2
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 9182/265, 3510/1077?
Answer: GCF of Numerators as per given numbers 9182/265, 3510/1077 is
GCF of Numerators i.e. for 9182,3510 is 2
LCM of denominators i.e. for 265,1077 is 285405.
Thus, GCF of Fractions is 2/285405.Finally, GCF of Fractions for 9182/265, 3510/1077 is 2/285405.