GCF of 2421/337, 8715/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2421/337, 8715/227 i.e 3/76499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2421/337, 8715/227.
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 2421/337,8715/227?
Given fractions are 2421/337,8715/227
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 2421/337,8715/227, numerators are 2421,8715
Denominators are 337,227
The GCF of 2421,8715 is 3 .
LCM of 337,227 is 76499.
The greatest common factor of 2421/337,8715/227 = [GCF of 2421,8715]/[LCM of 337,227]= 3/76499
Therefore, the GCF of 2421/337,8715/227 is 3/76499.
To find the highest common factor of 2421,8715, we have to find the factors of both numbers and list the highest common factor.
The factors of 2421 are 1, 3, 9, 269, 807, 2421
The factors of 8715 are 1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715
The HCF of 2421,8715 is 3.
Lets's calculate GCF of 2421,8715
| 3 | 2421, 8715 |
| 807, 2905 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2421,8715 By Matching Biggest Common Factor Method
Now, list down the factors of 2421
:1,3,9,269,807,2421
Now, list down the factors of 8715
:1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715
Greatest Common Factor
We found the factors 2421,8715 . The biggest common factor number is the GCF number.
So the greatest common factor 2421,8715 is 3.
Lets's calculate LCM of 337,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 76499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/76499
Therefore, the GCF of Fractions 2421/337,8715/227 is 3/76499
Least Common Multiple of 337,227 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 337,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,227) x common factors =1 x 1 = 1
LCM(337,227) = ( 337 × 227 ) / 1
LCM(337,227) = 76499 / 1
LCM(337,227) = 76499
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FAQs on GCF of Fractions of 2421/337, 8715/227
1. What is the HCF of 2421,8715?
The HCF of 2421,8715 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 2421/337, 8715/227?
Answer: GCF of Numerators as per given numbers 2421/337, 8715/227 is
GCF of Numerators i.e. for 2421,8715 is 3
LCM of denominators i.e. for 337,227 is 76499.
Thus, GCF of Fractions is 3/76499.Finally, GCF of Fractions for 2421/337, 8715/227 is 3/76499.