GCF of 9717/599, 6083/8770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9717/599, 6083/8770 i.e 79/5253230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9717/599, 6083/8770.
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 9717/599,6083/8770?
Given fractions are 9717/599,6083/8770
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 9717/599,6083/8770, numerators are 9717,6083
Denominators are 599,8770
The GCF of 9717,6083 is 79 .
LCM of 599,8770 is 5253230.
The greatest common factor of 9717/599,6083/8770 = [GCF of 9717,6083]/[LCM of 599,8770]= 79/5253230
Therefore, the GCF of 9717/599,6083/8770 is 79/5253230.
To find the highest common factor of 9717,6083, we have to find the factors of both numbers and list the highest common factor.
The factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717
The factors of 6083 are 1, 7, 11, 77, 79, 553, 869, 6083
The HCF of 9717,6083 is 79.
Lets's calculate GCF of 9717,6083
| 79 | 9717, 6083 |
| 123, 77 |
∴ So the GCF of the given numbers is 79 = 79
Greatest Common Factor of 9717,6083 By Matching Biggest Common Factor Method
Now, list down the factors of 9717
:1,3,41,79,123,237,3239,9717
Now, list down the factors of 6083
:1,7,11,77,79,553,869,6083
Greatest Common Factor
We found the factors 9717,6083 . The biggest common factor number is the GCF number.
So the greatest common factor 9717,6083 is 79.
Lets's calculate LCM of 599,8770
Given numbers has no common factors except 1. So, there LCM is their product i.e 5253230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 79/5253230
Therefore, the GCF of Fractions 9717/599,6083/8770 is 79/5253230
Least Common Multiple of 599,8770 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 599,8770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,8770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,8770) x common factors =1 x 1 = 1
LCM(599,8770) = ( 599 × 8770 ) / 1
LCM(599,8770) = 5253230 / 1
LCM(599,8770) = 5253230
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FAQs on GCF of Fractions of 9717/599, 6083/8770
1. What is the HCF of 9717,6083?
The HCF of 9717,6083 is 79
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 9717/599, 6083/8770?
Answer: GCF of Numerators as per given numbers 9717/599, 6083/8770 is
GCF of Numerators i.e. for 9717,6083 is 79
LCM of denominators i.e. for 599,8770 is 5253230.
Thus, GCF of Fractions is 79/5253230.Finally, GCF of Fractions for 9717/599, 6083/8770 is 79/5253230.