GCF of 8752/432, 7830/6576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8752/432, 7830/6576 i.e 2/59184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8752/432, 7830/6576.
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 8752/432,7830/6576?
Given fractions are 8752/432,7830/6576
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 8752/432,7830/6576, numerators are 8752,7830
Denominators are 432,6576
The GCF of 8752,7830 is 2 .
LCM of 432,6576 is 59184.
The greatest common factor of 8752/432,7830/6576 = [GCF of 8752,7830]/[LCM of 432,6576]= 2/59184
Therefore, the GCF of 8752/432,7830/6576 is 2/59184.
To find the highest common factor of 8752,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The HCF of 8752,7830 is 2.
Lets's calculate GCF of 8752,7830
| 2 | 8752, 7830 |
| 4376, 3915 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8752,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 8752
:1,2,4,8,16,547,1094,2188,4376,8752
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Greatest Common Factor
We found the factors 8752,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 8752,7830 is 2.
Lets's calculate LCM of 432,6576
| 2 | 432, 6576 |
| 2 | 216, 3288 |
| 2 | 108, 1644 |
| 2 | 54, 822 |
| 3 | 27, 411 |
| 9, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 9 x 137 = 59184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59184
Therefore, the GCF of Fractions 8752/432,7830/6576 is 2/59184
Least Common Multiple of 432,6576 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 432,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,6576) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(432,6576) x common factors =48 x 1 = 48
LCM(432,6576) = ( 432 × 6576 ) / 48
LCM(432,6576) = 2840832 / 48
LCM(432,6576) = 59184
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FAQs on GCF of Fractions of 8752/432, 7830/6576
1. What is the HCF of 8752,7830?
The HCF of 8752,7830 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 8752/432, 7830/6576?
Answer: GCF of Numerators as per given numbers 8752/432, 7830/6576 is
GCF of Numerators i.e. for 8752,7830 is 2
LCM of denominators i.e. for 432,6576 is 59184.
Thus, GCF of Fractions is 2/59184.Finally, GCF of Fractions for 8752/432, 7830/6576 is 2/59184.