GCF of 8789/422, 5766/3516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8789/422, 5766/3516 i.e 1/741876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8789/422, 5766/3516.
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 8789/422,5766/3516?
Given fractions are 8789/422,5766/3516
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 8789/422,5766/3516, numerators are 8789,5766
Denominators are 422,3516
The GCF of 8789,5766 is 1 .
LCM of 422,3516 is 741876.
The greatest common factor of 8789/422,5766/3516 = [GCF of 8789,5766]/[LCM of 422,3516]= 1/741876
Therefore, the GCF of 8789/422,5766/3516 is 1/741876.
To find the highest common factor of 8789,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 8789,5766 is 1.
Lets's calculate GCF of 8789,5766
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8789,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 8789
:1,11,17,47,187,517,799,8789
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 8789,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 8789,5766 is 1.
Lets's calculate LCM of 422,3516
| 2 | 422, 3516 |
| 211, 1758 |
∴ So the LCM of the given numbers is 2 x 211 x 1758 = 741876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/741876
Therefore, the GCF of Fractions 8789/422,5766/3516 is 1/741876
Least Common Multiple of 422,3516 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 422,3516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,3516) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,3516) x common factors =2 x 1 = 2
LCM(422,3516) = ( 422 × 3516 ) / 2
LCM(422,3516) = 1483752 / 2
LCM(422,3516) = 741876
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FAQs on GCF of Fractions of 8789/422, 5766/3516
1. What is the HCF of 8789,5766?
The HCF of 8789,5766 is 1
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 8789/422, 5766/3516?
Answer: GCF of Numerators as per given numbers 8789/422, 5766/3516 is
GCF of Numerators i.e. for 8789,5766 is 1
LCM of denominators i.e. for 422,3516 is 741876.
Thus, GCF of Fractions is 1/741876.Finally, GCF of Fractions for 8789/422, 5766/3516 is 1/741876.