GCF of 5871/242, 1116/8161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5871/242, 1116/8161 i.e 3/1974962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5871/242, 1116/8161.
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 5871/242,1116/8161?
Given fractions are 5871/242,1116/8161
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 5871/242,1116/8161, numerators are 5871,1116
Denominators are 242,8161
The GCF of 5871,1116 is 3 .
LCM of 242,8161 is 1974962.
The greatest common factor of 5871/242,1116/8161 = [GCF of 5871,1116]/[LCM of 242,8161]= 3/1974962
Therefore, the GCF of 5871/242,1116/8161 is 3/1974962.
To find the highest common factor of 5871,1116, we have to find the factors of both numbers and list the highest common factor.
The factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The HCF of 5871,1116 is 3.
Lets's calculate GCF of 5871,1116
| 3 | 5871, 1116 |
| 1957, 372 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5871,1116 By Matching Biggest Common Factor Method
Now, list down the factors of 5871
:1,3,19,57,103,309,1957,5871
Now, list down the factors of 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Greatest Common Factor
We found the factors 5871,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 5871,1116 is 3.
Lets's calculate LCM of 242,8161
Given numbers has no common factors except 1. So, there LCM is their product i.e 1974962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1974962
Therefore, the GCF of Fractions 5871/242,1116/8161 is 3/1974962
Least Common Multiple of 242,8161 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 242,8161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,8161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,8161) x common factors =1 x 1 = 1
LCM(242,8161) = ( 242 × 8161 ) / 1
LCM(242,8161) = 1974962 / 1
LCM(242,8161) = 1974962
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FAQs on GCF of Fractions of 5871/242, 1116/8161
1. What is the HCF of 5871,1116?
The HCF of 5871,1116 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 5871/242, 1116/8161?
Answer: GCF of Numerators as per given numbers 5871/242, 1116/8161 is
GCF of Numerators i.e. for 5871,1116 is 3
LCM of denominators i.e. for 242,8161 is 1974962.
Thus, GCF of Fractions is 3/1974962.Finally, GCF of Fractions for 5871/242, 1116/8161 is 3/1974962.