GCF of 7436/159, 1224/7227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7436/159, 1224/7227 i.e 4/383031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7436/159, 1224/7227.
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 7436/159,1224/7227?
Given fractions are 7436/159,1224/7227
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 7436/159,1224/7227, numerators are 7436,1224
Denominators are 159,7227
The GCF of 7436,1224 is 4 .
LCM of 159,7227 is 383031.
The greatest common factor of 7436/159,1224/7227 = [GCF of 7436,1224]/[LCM of 159,7227]= 4/383031
Therefore, the GCF of 7436/159,1224/7227 is 4/383031.
To find the highest common factor of 7436,1224, we have to find the factors of both numbers and list the highest common factor.
The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436
The factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224
The HCF of 7436,1224 is 4.
Lets's calculate GCF of 7436,1224
| 2 | 7436, 1224 |
| 2 | 3718, 612 |
| 1859, 306 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7436,1224 By Matching Biggest Common Factor Method
Now, list down the factors of 7436
:1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436
Now, list down the factors of 1224
:1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224
Greatest Common Factor
We found the factors 7436,1224 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,1224 is 4.
Lets's calculate LCM of 159,7227
| 3 | 159, 7227 |
| 53, 2409 |
∴ So the LCM of the given numbers is 3 x 53 x 2409 = 383031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/383031
Therefore, the GCF of Fractions 7436/159,1224/7227 is 4/383031
Least Common Multiple of 159,7227 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 159,7227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,7227) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,7227) x common factors =3 x 1 = 3
LCM(159,7227) = ( 159 × 7227 ) / 3
LCM(159,7227) = 1149093 / 3
LCM(159,7227) = 383031
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FAQs on GCF of Fractions of 7436/159, 1224/7227
1. What is the HCF of 7436,1224?
The HCF of 7436,1224 is 4
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 7436/159, 1224/7227?
Answer: GCF of Numerators as per given numbers 7436/159, 1224/7227 is
GCF of Numerators i.e. for 7436,1224 is 4
LCM of denominators i.e. for 159,7227 is 383031.
Thus, GCF of Fractions is 4/383031.Finally, GCF of Fractions for 7436/159, 1224/7227 is 4/383031.