GCF of 7641/452, 9360/2824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7641/452, 9360/2824 i.e 9/319112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7641/452, 9360/2824.
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 7641/452,9360/2824?
Given fractions are 7641/452,9360/2824
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 7641/452,9360/2824, numerators are 7641,9360
Denominators are 452,2824
The GCF of 7641,9360 is 9 .
LCM of 452,2824 is 319112.
The greatest common factor of 7641/452,9360/2824 = [GCF of 7641,9360]/[LCM of 452,2824]= 9/319112
Therefore, the GCF of 7641/452,9360/2824 is 9/319112.
To find the highest common factor of 7641,9360, we have to find the factors of both numbers and list the highest common factor.
The factors of 7641 are 1, 3, 9, 27, 283, 849, 2547, 7641
The factors of 9360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360
The HCF of 7641,9360 is 9.
Lets's calculate GCF of 7641,9360
| 3 | 7641, 9360 |
| 3 | 2547, 3120 |
| 849, 1040 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7641,9360 By Matching Biggest Common Factor Method
Now, list down the factors of 7641
:1,3,9,27,283,849,2547,7641
Now, list down the factors of 9360
:1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360
Greatest Common Factor
We found the factors 7641,9360 . The biggest common factor number is the GCF number.
So the greatest common factor 7641,9360 is 9.
Lets's calculate LCM of 452,2824
| 2 | 452, 2824 |
| 2 | 226, 1412 |
| 113, 706 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 706 = 319112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/319112
Therefore, the GCF of Fractions 7641/452,9360/2824 is 9/319112
Least Common Multiple of 452,2824 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 452,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,2824) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(452,2824) x common factors =4 x 1 = 4
LCM(452,2824) = ( 452 × 2824 ) / 4
LCM(452,2824) = 1276448 / 4
LCM(452,2824) = 319112
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FAQs on GCF of Fractions of 7641/452, 9360/2824
1. What is the HCF of 7641,9360?
The HCF of 7641,9360 is 9
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 7641/452, 9360/2824?
Answer: GCF of Numerators as per given numbers 7641/452, 9360/2824 is
GCF of Numerators i.e. for 7641,9360 is 9
LCM of denominators i.e. for 452,2824 is 319112.
Thus, GCF of Fractions is 9/319112.Finally, GCF of Fractions for 7641/452, 9360/2824 is 9/319112.