GCF of 9775/361, 8230/5831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9775/361, 8230/5831 i.e 5/2104991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9775/361, 8230/5831.
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 9775/361,8230/5831?
Given fractions are 9775/361,8230/5831
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 9775/361,8230/5831, numerators are 9775,8230
Denominators are 361,5831
The GCF of 9775,8230 is 5 .
LCM of 361,5831 is 2104991.
The greatest common factor of 9775/361,8230/5831 = [GCF of 9775,8230]/[LCM of 361,5831]= 5/2104991
Therefore, the GCF of 9775/361,8230/5831 is 5/2104991.
To find the highest common factor of 9775,8230, we have to find the factors of both numbers and list the highest common factor.
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230
The HCF of 9775,8230 is 5.
Lets's calculate GCF of 9775,8230
| 5 | 9775, 8230 |
| 1955, 1646 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9775,8230 By Matching Biggest Common Factor Method
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Now, list down the factors of 8230
:1,2,5,10,823,1646,4115,8230
Greatest Common Factor
We found the factors 9775,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 9775,8230 is 5.
Lets's calculate LCM of 361,5831
Given numbers has no common factors except 1. So, there LCM is their product i.e 2104991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2104991
Therefore, the GCF of Fractions 9775/361,8230/5831 is 5/2104991
Least Common Multiple of 361,5831 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 361,5831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,5831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,5831) x common factors =1 x 1 = 1
LCM(361,5831) = ( 361 × 5831 ) / 1
LCM(361,5831) = 2104991 / 1
LCM(361,5831) = 2104991
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FAQs on GCF of Fractions of 9775/361, 8230/5831
1. What is the HCF of 9775,8230?
The HCF of 9775,8230 is 5
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 9775/361, 8230/5831?
Answer: GCF of Numerators as per given numbers 9775/361, 8230/5831 is
GCF of Numerators i.e. for 9775,8230 is 5
LCM of denominators i.e. for 361,5831 is 2104991.
Thus, GCF of Fractions is 5/2104991.Finally, GCF of Fractions for 9775/361, 8230/5831 is 5/2104991.