GCF of 81/124, 6117/3145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/124, 6117/3145 i.e 3/389980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/124, 6117/3145.
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 81/124,6117/3145?
Given fractions are 81/124,6117/3145
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 81/124,6117/3145, numerators are 81,6117
Denominators are 124,3145
The GCF of 81,6117 is 3 .
LCM of 124,3145 is 389980.
The greatest common factor of 81/124,6117/3145 = [GCF of 81,6117]/[LCM of 124,3145]= 3/389980
Therefore, the GCF of 81/124,6117/3145 is 3/389980.
To find the highest common factor of 81,6117, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 6117 are 1, 3, 2039, 6117
The HCF of 81,6117 is 3.
Lets's calculate GCF of 81,6117
| 3 | 81, 6117 |
| 27, 2039 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 81,6117 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 6117
:1,3,2039,6117
Greatest Common Factor
We found the factors 81,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 81,6117 is 3.
Lets's calculate LCM of 124,3145
Given numbers has no common factors except 1. So, there LCM is their product i.e 389980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/389980
Therefore, the GCF of Fractions 81/124,6117/3145 is 3/389980
Least Common Multiple of 124,3145 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 124,3145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,3145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,3145) x common factors =1 x 1 = 1
LCM(124,3145) = ( 124 × 3145 ) / 1
LCM(124,3145) = 389980 / 1
LCM(124,3145) = 389980
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FAQs on GCF of Fractions of 81/124, 6117/3145
1. What is the HCF of 81,6117?
The HCF of 81,6117 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 81/124, 6117/3145?
Answer: GCF of Numerators as per given numbers 81/124, 6117/3145 is
GCF of Numerators i.e. for 81,6117 is 3
LCM of denominators i.e. for 124,3145 is 389980.
Thus, GCF of Fractions is 3/389980.Finally, GCF of Fractions for 81/124, 6117/3145 is 3/389980.