GCF of 2484/242, 7326/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2484/242, 7326/361 i.e 18/87362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2484/242, 7326/361.
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 2484/242,7326/361?
Given fractions are 2484/242,7326/361
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 2484/242,7326/361, numerators are 2484,7326
Denominators are 242,361
The GCF of 2484,7326 is 18 .
LCM of 242,361 is 87362.
The greatest common factor of 2484/242,7326/361 = [GCF of 2484,7326]/[LCM of 242,361]= 18/87362
Therefore, the GCF of 2484/242,7326/361 is 18/87362.
To find the highest common factor of 2484,7326, we have to find the factors of both numbers and list the highest common factor.
The factors of 2484 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484
The factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326
The HCF of 2484,7326 is 18.
Lets's calculate GCF of 2484,7326
| 2 | 2484, 7326 |
| 3 | 1242, 3663 |
| 3 | 414, 1221 |
| 138, 407 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2484,7326 By Matching Biggest Common Factor Method
Now, list down the factors of 2484
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484
Now, list down the factors of 7326
:1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Greatest Common Factor
We found the factors 2484,7326 . The biggest common factor number is the GCF number.
So the greatest common factor 2484,7326 is 18.
Lets's calculate LCM of 242,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 87362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/87362
Therefore, the GCF of Fractions 2484/242,7326/361 is 18/87362
Least Common Multiple of 242,361 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 242,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,361) x common factors =1 x 1 = 1
LCM(242,361) = ( 242 × 361 ) / 1
LCM(242,361) = 87362 / 1
LCM(242,361) = 87362
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FAQs on GCF of Fractions of 2484/242, 7326/361
1. What is the HCF of 2484,7326?
The HCF of 2484,7326 is 18
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 2484/242, 7326/361?
Answer: GCF of Numerators as per given numbers 2484/242, 7326/361 is
GCF of Numerators i.e. for 2484,7326 is 18
LCM of denominators i.e. for 242,361 is 87362.
Thus, GCF of Fractions is 18/87362.Finally, GCF of Fractions for 2484/242, 7326/361 is 18/87362.