GCF of 8427/605, 9777/2174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8427/605, 9777/2174 i.e 3/1315270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8427/605, 9777/2174.
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 8427/605,9777/2174?
Given fractions are 8427/605,9777/2174
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 8427/605,9777/2174, numerators are 8427,9777
Denominators are 605,2174
The GCF of 8427,9777 is 3 .
LCM of 605,2174 is 1315270.
The greatest common factor of 8427/605,9777/2174 = [GCF of 8427,9777]/[LCM of 605,2174]= 3/1315270
Therefore, the GCF of 8427/605,9777/2174 is 3/1315270.
To find the highest common factor of 8427,9777, we have to find the factors of both numbers and list the highest common factor.
The factors of 8427 are 1, 3, 53, 159, 2809, 8427
The factors of 9777 are 1, 3, 3259, 9777
The HCF of 8427,9777 is 3.
Lets's calculate GCF of 8427,9777
| 3 | 8427, 9777 |
| 2809, 3259 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8427,9777 By Matching Biggest Common Factor Method
Now, list down the factors of 8427
:1,3,53,159,2809,8427
Now, list down the factors of 9777
:1,3,3259,9777
Greatest Common Factor
We found the factors 8427,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 8427,9777 is 3.
Lets's calculate LCM of 605,2174
Given numbers has no common factors except 1. So, there LCM is their product i.e 1315270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1315270
Therefore, the GCF of Fractions 8427/605,9777/2174 is 3/1315270
Least Common Multiple of 605,2174 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 605,2174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,2174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,2174) x common factors =1 x 1 = 1
LCM(605,2174) = ( 605 × 2174 ) / 1
LCM(605,2174) = 1315270 / 1
LCM(605,2174) = 1315270
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FAQs on GCF of Fractions of 8427/605, 9777/2174
1. What is the HCF of 8427,9777?
The HCF of 8427,9777 is 3
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 8427/605, 9777/2174?
Answer: GCF of Numerators as per given numbers 8427/605, 9777/2174 is
GCF of Numerators i.e. for 8427,9777 is 3
LCM of denominators i.e. for 605,2174 is 1315270.
Thus, GCF of Fractions is 3/1315270.Finally, GCF of Fractions for 8427/605, 9777/2174 is 3/1315270.