GCF of 7416/119, 9048/3493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7416/119, 9048/3493 i.e 24/59381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7416/119, 9048/3493.
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 7416/119,9048/3493?
Given fractions are 7416/119,9048/3493
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 7416/119,9048/3493, numerators are 7416,9048
Denominators are 119,3493
The GCF of 7416,9048 is 24 .
LCM of 119,3493 is 59381.
The greatest common factor of 7416/119,9048/3493 = [GCF of 7416,9048]/[LCM of 119,3493]= 24/59381
Therefore, the GCF of 7416/119,9048/3493 is 24/59381.
To find the highest common factor of 7416,9048, we have to find the factors of both numbers and list the highest common factor.
The factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The HCF of 7416,9048 is 24.
Lets's calculate GCF of 7416,9048
| 2 | 7416, 9048 |
| 2 | 3708, 4524 |
| 2 | 1854, 2262 |
| 3 | 927, 1131 |
| 309, 377 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 7416,9048 By Matching Biggest Common Factor Method
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 7416,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 7416,9048 is 24.
Lets's calculate LCM of 119,3493
| 7 | 119, 3493 |
| 17, 499 |
∴ So the LCM of the given numbers is 7 x 17 x 499 = 59381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/59381
Therefore, the GCF of Fractions 7416/119,9048/3493 is 24/59381
Least Common Multiple of 119,3493 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 119,3493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,3493) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,3493) x common factors =7 x 1 = 7
LCM(119,3493) = ( 119 × 3493 ) / 7
LCM(119,3493) = 415667 / 7
LCM(119,3493) = 59381
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7416/119, 9048/3493
1. What is the HCF of 7416,9048?
The HCF of 7416,9048 is 24
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 7416/119, 9048/3493?
Answer: GCF of Numerators as per given numbers 7416/119, 9048/3493 is
GCF of Numerators i.e. for 7416,9048 is 24
LCM of denominators i.e. for 119,3493 is 59381.
Thus, GCF of Fractions is 24/59381.Finally, GCF of Fractions for 7416/119, 9048/3493 is 24/59381.