GCF of 5172/741, 7224/9459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5172/741, 7224/9459 i.e 12/2336373 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5172/741, 7224/9459.
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 5172/741,7224/9459?
Given fractions are 5172/741,7224/9459
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 5172/741,7224/9459, numerators are 5172,7224
Denominators are 741,9459
The GCF of 5172,7224 is 12 .
LCM of 741,9459 is 2336373.
The greatest common factor of 5172/741,7224/9459 = [GCF of 5172,7224]/[LCM of 741,9459]= 12/2336373
Therefore, the GCF of 5172/741,7224/9459 is 12/2336373.
To find the highest common factor of 5172,7224, we have to find the factors of both numbers and list the highest common factor.
The factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172
The factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224
The HCF of 5172,7224 is 12.
Lets's calculate GCF of 5172,7224
| 2 | 5172, 7224 |
| 2 | 2586, 3612 |
| 3 | 1293, 1806 |
| 431, 602 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5172,7224 By Matching Biggest Common Factor Method
Now, list down the factors of 5172
:1,2,3,4,6,12,431,862,1293,1724,2586,5172
Now, list down the factors of 7224
:1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Greatest Common Factor
We found the factors 5172,7224 . The biggest common factor number is the GCF number.
So the greatest common factor 5172,7224 is 12.
Lets's calculate LCM of 741,9459
| 3 | 741, 9459 |
| 247, 3153 |
∴ So the LCM of the given numbers is 3 x 247 x 3153 = 2336373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2336373
Therefore, the GCF of Fractions 5172/741,7224/9459 is 12/2336373
Least Common Multiple of 741,9459 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 741,9459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,9459) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,9459) x common factors =3 x 1 = 3
LCM(741,9459) = ( 741 × 9459 ) / 3
LCM(741,9459) = 7009119 / 3
LCM(741,9459) = 2336373
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FAQs on GCF of Fractions of 5172/741, 7224/9459
1. What is the HCF of 5172,7224?
The HCF of 5172,7224 is 12
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 5172/741, 7224/9459?
Answer: GCF of Numerators as per given numbers 5172/741, 7224/9459 is
GCF of Numerators i.e. for 5172,7224 is 12
LCM of denominators i.e. for 741,9459 is 2336373.
Thus, GCF of Fractions is 12/2336373.Finally, GCF of Fractions for 5172/741, 7224/9459 is 12/2336373.