GCF of 2460/320, 9240/9558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2460/320, 9240/9558 i.e 60/1529280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2460/320, 9240/9558.
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 2460/320,9240/9558?
Given fractions are 2460/320,9240/9558
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 2460/320,9240/9558, numerators are 2460,9240
Denominators are 320,9558
The GCF of 2460,9240 is 60 .
LCM of 320,9558 is 1529280.
The greatest common factor of 2460/320,9240/9558 = [GCF of 2460,9240]/[LCM of 320,9558]= 60/1529280
Therefore, the GCF of 2460/320,9240/9558 is 60/1529280.
To find the highest common factor of 2460,9240, we have to find the factors of both numbers and list the highest common factor.
The factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460
The factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240
The HCF of 2460,9240 is 60.
Lets's calculate GCF of 2460,9240
| 2 | 2460, 9240 |
| 2 | 1230, 4620 |
| 3 | 615, 2310 |
| 5 | 205, 770 |
| 41, 154 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 2460,9240 By Matching Biggest Common Factor Method
Now, list down the factors of 2460
:1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460
Now, list down the factors of 9240
:1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240
Greatest Common Factor
We found the factors 2460,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 2460,9240 is 60.
Lets's calculate LCM of 320,9558
| 2 | 320, 9558 |
| 160, 4779 |
∴ So the LCM of the given numbers is 2 x 160 x 4779 = 1529280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/1529280
Therefore, the GCF of Fractions 2460/320,9240/9558 is 60/1529280
Least Common Multiple of 320,9558 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 320,9558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,9558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,9558) x common factors =2 x 1 = 2
LCM(320,9558) = ( 320 × 9558 ) / 2
LCM(320,9558) = 3058560 / 2
LCM(320,9558) = 1529280
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FAQs on GCF of Fractions of 2460/320, 9240/9558
1. What is the HCF of 2460,9240?
The HCF of 2460,9240 is 60
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 2460/320, 9240/9558?
Answer: GCF of Numerators as per given numbers 2460/320, 9240/9558 is
GCF of Numerators i.e. for 2460,9240 is 60
LCM of denominators i.e. for 320,9558 is 1529280.
Thus, GCF of Fractions is 60/1529280.Finally, GCF of Fractions for 2460/320, 9240/9558 is 60/1529280.