GCF of 9589/616, 5991/956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9589/616, 5991/956 i.e 1/147224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9589/616, 5991/956.
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 9589/616,5991/956?
Given fractions are 9589/616,5991/956
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 9589/616,5991/956, numerators are 9589,5991
Denominators are 616,956
The GCF of 9589,5991 is 1 .
LCM of 616,956 is 147224.
The greatest common factor of 9589/616,5991/956 = [GCF of 9589,5991]/[LCM of 616,956]= 1/147224
Therefore, the GCF of 9589/616,5991/956 is 1/147224.
To find the highest common factor of 9589,5991, we have to find the factors of both numbers and list the highest common factor.
The factors of 9589 are 1, 43, 223, 9589
The factors of 5991 are 1, 3, 1997, 5991
The HCF of 9589,5991 is 1.
Lets's calculate GCF of 9589,5991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9589,5991 By Matching Biggest Common Factor Method
Now, list down the factors of 9589
:1,43,223,9589
Now, list down the factors of 5991
:1,3,1997,5991
Greatest Common Factor
We found the factors 9589,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 9589,5991 is 1.
Lets's calculate LCM of 616,956
| 2 | 616, 956 |
| 2 | 308, 478 |
| 154, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 154 x 239 = 147224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147224
Therefore, the GCF of Fractions 9589/616,5991/956 is 1/147224
Least Common Multiple of 616,956 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 616,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,956) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(616,956) x common factors =4 x 1 = 4
LCM(616,956) = ( 616 × 956 ) / 4
LCM(616,956) = 588896 / 4
LCM(616,956) = 147224
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FAQs on GCF of Fractions of 9589/616, 5991/956
1. What is the HCF of 9589,5991?
The HCF of 9589,5991 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 9589/616, 5991/956?
Answer: GCF of Numerators as per given numbers 9589/616, 5991/956 is
GCF of Numerators i.e. for 9589,5991 is 1
LCM of denominators i.e. for 616,956 is 147224.
Thus, GCF of Fractions is 1/147224.Finally, GCF of Fractions for 9589/616, 5991/956 is 1/147224.