GCF of 3218/268, 9180/8342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3218/268, 9180/8342 i.e 2/1117828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3218/268, 9180/8342.
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 3218/268,9180/8342?
Given fractions are 3218/268,9180/8342
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 3218/268,9180/8342, numerators are 3218,9180
Denominators are 268,8342
The GCF of 3218,9180 is 2 .
LCM of 268,8342 is 1117828.
The greatest common factor of 3218/268,9180/8342 = [GCF of 3218,9180]/[LCM of 268,8342]= 2/1117828
Therefore, the GCF of 3218/268,9180/8342 is 2/1117828.
To find the highest common factor of 3218,9180, we have to find the factors of both numbers and list the highest common factor.
The factors of 3218 are 1, 2, 1609, 3218
The factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180
The HCF of 3218,9180 is 2.
Lets's calculate GCF of 3218,9180
| 2 | 3218, 9180 |
| 1609, 4590 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3218,9180 By Matching Biggest Common Factor Method
Now, list down the factors of 3218
:1,2,1609,3218
Now, list down the factors of 9180
:1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Greatest Common Factor
We found the factors 3218,9180 . The biggest common factor number is the GCF number.
So the greatest common factor 3218,9180 is 2.
Lets's calculate LCM of 268,8342
| 2 | 268, 8342 |
| 134, 4171 |
∴ So the LCM of the given numbers is 2 x 134 x 4171 = 1117828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1117828
Therefore, the GCF of Fractions 3218/268,9180/8342 is 2/1117828
Least Common Multiple of 268,8342 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 268,8342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,8342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,8342) x common factors =2 x 1 = 2
LCM(268,8342) = ( 268 × 8342 ) / 2
LCM(268,8342) = 2235656 / 2
LCM(268,8342) = 1117828
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FAQs on GCF of Fractions of 3218/268, 9180/8342
1. What is the HCF of 3218,9180?
The HCF of 3218,9180 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 3218/268, 9180/8342?
Answer: GCF of Numerators as per given numbers 3218/268, 9180/8342 is
GCF of Numerators i.e. for 3218,9180 is 2
LCM of denominators i.e. for 268,8342 is 1117828.
Thus, GCF of Fractions is 2/1117828.Finally, GCF of Fractions for 3218/268, 9180/8342 is 2/1117828.