GCF of 2681/435, 4227/888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2681/435, 4227/888 i.e 1/128760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2681/435, 4227/888.
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 2681/435,4227/888?
Given fractions are 2681/435,4227/888
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 2681/435,4227/888, numerators are 2681,4227
Denominators are 435,888
The GCF of 2681,4227 is 1 .
LCM of 435,888 is 128760.
The greatest common factor of 2681/435,4227/888 = [GCF of 2681,4227]/[LCM of 435,888]= 1/128760
Therefore, the GCF of 2681/435,4227/888 is 1/128760.
To find the highest common factor of 2681,4227, we have to find the factors of both numbers and list the highest common factor.
The factors of 2681 are 1, 7, 383, 2681
The factors of 4227 are 1, 3, 1409, 4227
The HCF of 2681,4227 is 1.
Lets's calculate GCF of 2681,4227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2681,4227 By Matching Biggest Common Factor Method
Now, list down the factors of 2681
:1,7,383,2681
Now, list down the factors of 4227
:1,3,1409,4227
Greatest Common Factor
We found the factors 2681,4227 . The biggest common factor number is the GCF number.
So the greatest common factor 2681,4227 is 1.
Lets's calculate LCM of 435,888
| 3 | 435, 888 |
| 145, 296 |
∴ So the LCM of the given numbers is 3 x 145 x 296 = 128760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128760
Therefore, the GCF of Fractions 2681/435,4227/888 is 1/128760
Least Common Multiple of 435,888 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 435,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,888) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(435,888) x common factors =3 x 1 = 3
LCM(435,888) = ( 435 × 888 ) / 3
LCM(435,888) = 386280 / 3
LCM(435,888) = 128760
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FAQs on GCF of Fractions of 2681/435, 4227/888
1. What is the HCF of 2681,4227?
The HCF of 2681,4227 is 1
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 2681/435, 4227/888?
Answer: GCF of Numerators as per given numbers 2681/435, 4227/888 is
GCF of Numerators i.e. for 2681,4227 is 1
LCM of denominators i.e. for 435,888 is 128760.
Thus, GCF of Fractions is 1/128760.Finally, GCF of Fractions for 2681/435, 4227/888 is 1/128760.