GCF of 3591/982, 5766/9026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3591/982, 5766/9026 i.e 3/4431766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3591/982, 5766/9026.
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 3591/982,5766/9026?
Given fractions are 3591/982,5766/9026
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 3591/982,5766/9026, numerators are 3591,5766
Denominators are 982,9026
The GCF of 3591,5766 is 3 .
LCM of 982,9026 is 4431766.
The greatest common factor of 3591/982,5766/9026 = [GCF of 3591,5766]/[LCM of 982,9026]= 3/4431766
Therefore, the GCF of 3591/982,5766/9026 is 3/4431766.
To find the highest common factor of 3591,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 3591,5766 is 3.
Lets's calculate GCF of 3591,5766
| 3 | 3591, 5766 |
| 1197, 1922 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3591,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 3591
:1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 3591,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 3591,5766 is 3.
Lets's calculate LCM of 982,9026
| 2 | 982, 9026 |
| 491, 4513 |
∴ So the LCM of the given numbers is 2 x 491 x 4513 = 4431766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4431766
Therefore, the GCF of Fractions 3591/982,5766/9026 is 3/4431766
Least Common Multiple of 982,9026 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 982,9026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,9026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,9026) x common factors =2 x 1 = 2
LCM(982,9026) = ( 982 × 9026 ) / 2
LCM(982,9026) = 8863532 / 2
LCM(982,9026) = 4431766
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FAQs on GCF of Fractions of 3591/982, 5766/9026
1. What is the HCF of 3591,5766?
The HCF of 3591,5766 is 3
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 3591/982, 5766/9026?
Answer: GCF of Numerators as per given numbers 3591/982, 5766/9026 is
GCF of Numerators i.e. for 3591,5766 is 3
LCM of denominators i.e. for 982,9026 is 4431766.
Thus, GCF of Fractions is 3/4431766.Finally, GCF of Fractions for 3591/982, 5766/9026 is 3/4431766.