GCF of 9840/538, 6552/7685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9840/538, 6552/7685 i.e 24/4134530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9840/538, 6552/7685.
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 9840/538,6552/7685?
Given fractions are 9840/538,6552/7685
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 9840/538,6552/7685, numerators are 9840,6552
Denominators are 538,7685
The GCF of 9840,6552 is 24 .
LCM of 538,7685 is 4134530.
The greatest common factor of 9840/538,6552/7685 = [GCF of 9840,6552]/[LCM of 538,7685]= 24/4134530
Therefore, the GCF of 9840/538,6552/7685 is 24/4134530.
To find the highest common factor of 9840,6552, we have to find the factors of both numbers and list the highest common factor.
The factors of 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840
The factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552
The HCF of 9840,6552 is 24.
Lets's calculate GCF of 9840,6552
| 2 | 9840, 6552 |
| 2 | 4920, 3276 |
| 2 | 2460, 1638 |
| 3 | 1230, 819 |
| 410, 273 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 9840,6552 By Matching Biggest Common Factor Method
Now, list down the factors of 9840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840
Now, list down the factors of 6552
:1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552
Greatest Common Factor
We found the factors 9840,6552 . The biggest common factor number is the GCF number.
So the greatest common factor 9840,6552 is 24.
Lets's calculate LCM of 538,7685
Given numbers has no common factors except 1. So, there LCM is their product i.e 4134530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/4134530
Therefore, the GCF of Fractions 9840/538,6552/7685 is 24/4134530
Least Common Multiple of 538,7685 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 538,7685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,7685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,7685) x common factors =1 x 1 = 1
LCM(538,7685) = ( 538 × 7685 ) / 1
LCM(538,7685) = 4134530 / 1
LCM(538,7685) = 4134530
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FAQs on GCF of Fractions of 9840/538, 6552/7685
1. What is the HCF of 9840,6552?
The HCF of 9840,6552 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 9840/538, 6552/7685?
Answer: GCF of Numerators as per given numbers 9840/538, 6552/7685 is
GCF of Numerators i.e. for 9840,6552 is 24
LCM of denominators i.e. for 538,7685 is 4134530.
Thus, GCF of Fractions is 24/4134530.Finally, GCF of Fractions for 9840/538, 6552/7685 is 24/4134530.