GCF of 4392/811, 7932/5539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4392/811, 7932/5539 i.e 12/4492129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4392/811, 7932/5539.
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 4392/811,7932/5539?
Given fractions are 4392/811,7932/5539
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 4392/811,7932/5539, numerators are 4392,7932
Denominators are 811,5539
The GCF of 4392,7932 is 12 .
LCM of 811,5539 is 4492129.
The greatest common factor of 4392/811,7932/5539 = [GCF of 4392,7932]/[LCM of 811,5539]= 12/4492129
Therefore, the GCF of 4392/811,7932/5539 is 12/4492129.
To find the highest common factor of 4392,7932, we have to find the factors of both numbers and list the highest common factor.
The factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
The factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932
The HCF of 4392,7932 is 12.
Lets's calculate GCF of 4392,7932
| 2 | 4392, 7932 |
| 2 | 2196, 3966 |
| 3 | 1098, 1983 |
| 366, 661 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4392,7932 By Matching Biggest Common Factor Method
Now, list down the factors of 4392
:1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Now, list down the factors of 7932
:1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Greatest Common Factor
We found the factors 4392,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 4392,7932 is 12.
Lets's calculate LCM of 811,5539
Given numbers has no common factors except 1. So, there LCM is their product i.e 4492129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4492129
Therefore, the GCF of Fractions 4392/811,7932/5539 is 12/4492129
Least Common Multiple of 811,5539 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 811,5539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,5539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,5539) x common factors =1 x 1 = 1
LCM(811,5539) = ( 811 × 5539 ) / 1
LCM(811,5539) = 4492129 / 1
LCM(811,5539) = 4492129
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FAQs on GCF of Fractions of 4392/811, 7932/5539
1. What is the HCF of 4392,7932?
The HCF of 4392,7932 is 12
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 4392/811, 7932/5539?
Answer: GCF of Numerators as per given numbers 4392/811, 7932/5539 is
GCF of Numerators i.e. for 4392,7932 is 12
LCM of denominators i.e. for 811,5539 is 4492129.
Thus, GCF of Fractions is 12/4492129.Finally, GCF of Fractions for 4392/811, 7932/5539 is 12/4492129.