GCF of 9450/832, 2340/8640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9450/832, 2340/8640 i.e 90/112320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9450/832, 2340/8640.
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 9450/832,2340/8640?
Given fractions are 9450/832,2340/8640
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 9450/832,2340/8640, numerators are 9450,2340
Denominators are 832,8640
The GCF of 9450,2340 is 90 .
LCM of 832,8640 is 112320.
The greatest common factor of 9450/832,2340/8640 = [GCF of 9450,2340]/[LCM of 832,8640]= 90/112320
Therefore, the GCF of 9450/832,2340/8640 is 90/112320.
To find the highest common factor of 9450,2340, we have to find the factors of both numbers and list the highest common factor.
The factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450
The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340
The HCF of 9450,2340 is 90.
Lets's calculate GCF of 9450,2340
| 2 | 9450, 2340 |
| 3 | 4725, 1170 |
| 3 | 1575, 390 |
| 5 | 525, 130 |
| 105, 26 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90
Greatest Common Factor of 9450,2340 By Matching Biggest Common Factor Method
Now, list down the factors of 9450
:1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450
Now, list down the factors of 2340
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340
Greatest Common Factor
We found the factors 9450,2340 . The biggest common factor number is the GCF number.
So the greatest common factor 9450,2340 is 90.
Lets's calculate LCM of 832,8640
| 2 | 832, 8640 |
| 2 | 416, 4320 |
| 2 | 208, 2160 |
| 2 | 104, 1080 |
| 2 | 52, 540 |
| 2 | 26, 270 |
| 13, 135 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 13 x 135 = 112320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/112320
Therefore, the GCF of Fractions 9450/832,2340/8640 is 90/112320
Least Common Multiple of 832,8640 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 832,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,8640) = 64
common factors(in case of two or more numbers have common factors) = 1
GCF(832,8640) x common factors =64 x 1 = 64
LCM(832,8640) = ( 832 × 8640 ) / 64
LCM(832,8640) = 7188480 / 64
LCM(832,8640) = 112320
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FAQs on GCF of Fractions of 9450/832, 2340/8640
1. What is the HCF of 9450,2340?
The HCF of 9450,2340 is 90
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 9450/832, 2340/8640?
Answer: GCF of Numerators as per given numbers 9450/832, 2340/8640 is
GCF of Numerators i.e. for 9450,2340 is 90
LCM of denominators i.e. for 832,8640 is 112320.
Thus, GCF of Fractions is 90/112320.Finally, GCF of Fractions for 9450/832, 2340/8640 is 90/112320.