GCF of 7260/843, 1144/9102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7260/843, 1144/9102 i.e 44/2557662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7260/843, 1144/9102.
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 7260/843,1144/9102?
Given fractions are 7260/843,1144/9102
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 7260/843,1144/9102, numerators are 7260,1144
Denominators are 843,9102
The GCF of 7260,1144 is 44 .
LCM of 843,9102 is 2557662.
The greatest common factor of 7260/843,1144/9102 = [GCF of 7260,1144]/[LCM of 843,9102]= 44/2557662
Therefore, the GCF of 7260/843,1144/9102 is 44/2557662.
To find the highest common factor of 7260,1144, we have to find the factors of both numbers and list the highest common factor.
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
The HCF of 7260,1144 is 44.
Lets's calculate GCF of 7260,1144
| 2 | 7260, 1144 |
| 2 | 3630, 572 |
| 11 | 1815, 286 |
| 165, 26 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 7260,1144 By Matching Biggest Common Factor Method
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Now, list down the factors of 1144
:1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144
Greatest Common Factor
We found the factors 7260,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 7260,1144 is 44.
Lets's calculate LCM of 843,9102
| 3 | 843, 9102 |
| 281, 3034 |
∴ So the LCM of the given numbers is 3 x 281 x 3034 = 2557662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/2557662
Therefore, the GCF of Fractions 7260/843,1144/9102 is 44/2557662
Least Common Multiple of 843,9102 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 843,9102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,9102) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(843,9102) x common factors =3 x 1 = 3
LCM(843,9102) = ( 843 × 9102 ) / 3
LCM(843,9102) = 7672986 / 3
LCM(843,9102) = 2557662
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FAQs on GCF of Fractions of 7260/843, 1144/9102
1. What is the HCF of 7260,1144?
The HCF of 7260,1144 is 44
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 7260/843, 1144/9102?
Answer: GCF of Numerators as per given numbers 7260/843, 1144/9102 is
GCF of Numerators i.e. for 7260,1144 is 44
LCM of denominators i.e. for 843,9102 is 2557662.
Thus, GCF of Fractions is 44/2557662.Finally, GCF of Fractions for 7260/843, 1144/9102 is 44/2557662.