GCF of 5611/177, 7905/9717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5611/177, 7905/9717 i.e 31/573303 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5611/177, 7905/9717.
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 5611/177,7905/9717?
Given fractions are 5611/177,7905/9717
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 5611/177,7905/9717, numerators are 5611,7905
Denominators are 177,9717
The GCF of 5611,7905 is 31 .
LCM of 177,9717 is 573303.
The greatest common factor of 5611/177,7905/9717 = [GCF of 5611,7905]/[LCM of 177,9717]= 31/573303
Therefore, the GCF of 5611/177,7905/9717 is 31/573303.
To find the highest common factor of 5611,7905, we have to find the factors of both numbers and list the highest common factor.
The factors of 5611 are 1, 31, 181, 5611
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The HCF of 5611,7905 is 31.
Lets's calculate GCF of 5611,7905
| 31 | 5611, 7905 |
| 181, 255 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 5611,7905 By Matching Biggest Common Factor Method
Now, list down the factors of 5611
:1,31,181,5611
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 5611,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 5611,7905 is 31.
Lets's calculate LCM of 177,9717
| 3 | 177, 9717 |
| 59, 3239 |
∴ So the LCM of the given numbers is 3 x 59 x 3239 = 573303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/573303
Therefore, the GCF of Fractions 5611/177,7905/9717 is 31/573303
Least Common Multiple of 177,9717 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 177,9717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,9717) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,9717) x common factors =3 x 1 = 3
LCM(177,9717) = ( 177 × 9717 ) / 3
LCM(177,9717) = 1719909 / 3
LCM(177,9717) = 573303
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FAQs on GCF of Fractions of 5611/177, 7905/9717
1. What is the HCF of 5611,7905?
The HCF of 5611,7905 is 31
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 5611/177, 7905/9717?
Answer: GCF of Numerators as per given numbers 5611/177, 7905/9717 is
GCF of Numerators i.e. for 5611,7905 is 31
LCM of denominators i.e. for 177,9717 is 573303.
Thus, GCF of Fractions is 31/573303.Finally, GCF of Fractions for 5611/177, 7905/9717 is 31/573303.