GCF of 3681/582, 8532/9792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3681/582, 8532/9792 i.e 9/949824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3681/582, 8532/9792.
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 3681/582,8532/9792?
Given fractions are 3681/582,8532/9792
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 3681/582,8532/9792, numerators are 3681,8532
Denominators are 582,9792
The GCF of 3681,8532 is 9 .
LCM of 582,9792 is 949824.
The greatest common factor of 3681/582,8532/9792 = [GCF of 3681,8532]/[LCM of 582,9792]= 9/949824
Therefore, the GCF of 3681/582,8532/9792 is 9/949824.
To find the highest common factor of 3681,8532, we have to find the factors of both numbers and list the highest common factor.
The factors of 3681 are 1, 3, 9, 409, 1227, 3681
The factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532
The HCF of 3681,8532 is 9.
Lets's calculate GCF of 3681,8532
| 3 | 3681, 8532 |
| 3 | 1227, 2844 |
| 409, 948 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3681,8532 By Matching Biggest Common Factor Method
Now, list down the factors of 3681
:1,3,9,409,1227,3681
Now, list down the factors of 8532
:1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Greatest Common Factor
We found the factors 3681,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 3681,8532 is 9.
Lets's calculate LCM of 582,9792
| 2 | 582, 9792 |
| 3 | 291, 4896 |
| 97, 1632 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 1632 = 949824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/949824
Therefore, the GCF of Fractions 3681/582,8532/9792 is 9/949824
Least Common Multiple of 582,9792 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 582,9792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,9792) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,9792) x common factors =6 x 1 = 6
LCM(582,9792) = ( 582 × 9792 ) / 6
LCM(582,9792) = 5698944 / 6
LCM(582,9792) = 949824
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FAQs on GCF of Fractions of 3681/582, 8532/9792
1. What is the HCF of 3681,8532?
The HCF of 3681,8532 is 9
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 3681/582, 8532/9792?
Answer: GCF of Numerators as per given numbers 3681/582, 8532/9792 is
GCF of Numerators i.e. for 3681,8532 is 9
LCM of denominators i.e. for 582,9792 is 949824.
Thus, GCF of Fractions is 9/949824.Finally, GCF of Fractions for 3681/582, 8532/9792 is 9/949824.