GCF of 2397/584, 8766/9417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2397/584, 8766/9417 i.e 3/75336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2397/584, 8766/9417.
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 2397/584,8766/9417?
Given fractions are 2397/584,8766/9417
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 2397/584,8766/9417, numerators are 2397,8766
Denominators are 584,9417
The GCF of 2397,8766 is 3 .
LCM of 584,9417 is 75336.
The greatest common factor of 2397/584,8766/9417 = [GCF of 2397,8766]/[LCM of 584,9417]= 3/75336
Therefore, the GCF of 2397/584,8766/9417 is 3/75336.
To find the highest common factor of 2397,8766, we have to find the factors of both numbers and list the highest common factor.
The factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397
The factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766
The HCF of 2397,8766 is 3.
Lets's calculate GCF of 2397,8766
| 3 | 2397, 8766 |
| 799, 2922 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2397,8766 By Matching Biggest Common Factor Method
Now, list down the factors of 2397
:1,3,17,47,51,141,799,2397
Now, list down the factors of 8766
:1,2,3,6,9,18,487,974,1461,2922,4383,8766
Greatest Common Factor
We found the factors 2397,8766 . The biggest common factor number is the GCF number.
So the greatest common factor 2397,8766 is 3.
Lets's calculate LCM of 584,9417
| 73 | 584, 9417 |
| 8, 129 |
∴ So the LCM of the given numbers is 73 x 8 x 129 = 75336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75336
Therefore, the GCF of Fractions 2397/584,8766/9417 is 3/75336
Least Common Multiple of 584,9417 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 584,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,9417) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(584,9417) x common factors =73 x 1 = 73
LCM(584,9417) = ( 584 × 9417 ) / 73
LCM(584,9417) = 5499528 / 73
LCM(584,9417) = 75336
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FAQs on GCF of Fractions of 2397/584, 8766/9417
1. What is the HCF of 2397,8766?
The HCF of 2397,8766 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 2397/584, 8766/9417?
Answer: GCF of Numerators as per given numbers 2397/584, 8766/9417 is
GCF of Numerators i.e. for 2397,8766 is 3
LCM of denominators i.e. for 584,9417 is 75336.
Thus, GCF of Fractions is 3/75336.Finally, GCF of Fractions for 2397/584, 8766/9417 is 3/75336.