GCF of 8132/517, 9072/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8132/517, 9072/483 i.e 4/249711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8132/517, 9072/483.
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 8132/517,9072/483?
Given fractions are 8132/517,9072/483
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 8132/517,9072/483, numerators are 8132,9072
Denominators are 517,483
The GCF of 8132,9072 is 4 .
LCM of 517,483 is 249711.
The greatest common factor of 8132/517,9072/483 = [GCF of 8132,9072]/[LCM of 517,483]= 4/249711
Therefore, the GCF of 8132/517,9072/483 is 4/249711.
To find the highest common factor of 8132,9072, we have to find the factors of both numbers and list the highest common factor.
The factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132
The factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072
The HCF of 8132,9072 is 4.
Lets's calculate GCF of 8132,9072
| 2 | 8132, 9072 |
| 2 | 4066, 4536 |
| 2033, 2268 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8132,9072 By Matching Biggest Common Factor Method
Now, list down the factors of 8132
:1,2,4,19,38,76,107,214,428,2033,4066,8132
Now, list down the factors of 9072
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Greatest Common Factor
We found the factors 8132,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 8132,9072 is 4.
Lets's calculate LCM of 517,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 249711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/249711
Therefore, the GCF of Fractions 8132/517,9072/483 is 4/249711
Least Common Multiple of 517,483 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 517,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,483) x common factors =1 x 1 = 1
LCM(517,483) = ( 517 × 483 ) / 1
LCM(517,483) = 249711 / 1
LCM(517,483) = 249711
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FAQs on GCF of Fractions of 8132/517, 9072/483
1. What is the HCF of 8132,9072?
The HCF of 8132,9072 is 4
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 8132/517, 9072/483?
Answer: GCF of Numerators as per given numbers 8132/517, 9072/483 is
GCF of Numerators i.e. for 8132,9072 is 4
LCM of denominators i.e. for 517,483 is 249711.
Thus, GCF of Fractions is 4/249711.Finally, GCF of Fractions for 8132/517, 9072/483 is 4/249711.