GCF of 9360/449, 4586/1892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9360/449, 4586/1892 i.e 2/849508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9360/449, 4586/1892.
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 9360/449,4586/1892?
Given fractions are 9360/449,4586/1892
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 9360/449,4586/1892, numerators are 9360,4586
Denominators are 449,1892
The GCF of 9360,4586 is 2 .
LCM of 449,1892 is 849508.
The greatest common factor of 9360/449,4586/1892 = [GCF of 9360,4586]/[LCM of 449,1892]= 2/849508
Therefore, the GCF of 9360/449,4586/1892 is 2/849508.
To find the highest common factor of 9360,4586, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4586 are 1, 2, 2293, 4586
The HCF of 9360,4586 is 2.
Lets's calculate GCF of 9360,4586
| 2 | 9360, 4586 |
| 4680, 2293 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9360,4586 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4586
:1,2,2293,4586
Greatest Common Factor
We found the factors 9360,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 9360,4586 is 2.
Lets's calculate LCM of 449,1892
Given numbers has no common factors except 1. So, there LCM is their product i.e 849508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/849508
Therefore, the GCF of Fractions 9360/449,4586/1892 is 2/849508
Least Common Multiple of 449,1892 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 449,1892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,1892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,1892) x common factors =1 x 1 = 1
LCM(449,1892) = ( 449 × 1892 ) / 1
LCM(449,1892) = 849508 / 1
LCM(449,1892) = 849508
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FAQs on GCF of Fractions of 9360/449, 4586/1892
1. What is the HCF of 9360,4586?
The HCF of 9360,4586 is 2
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 9360/449, 4586/1892?
Answer: GCF of Numerators as per given numbers 9360/449, 4586/1892 is
GCF of Numerators i.e. for 9360,4586 is 2
LCM of denominators i.e. for 449,1892 is 849508.
Thus, GCF of Fractions is 2/849508.Finally, GCF of Fractions for 9360/449, 4586/1892 is 2/849508.