GCF of 1841/435, 2918/2935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1841/435, 2918/2935 i.e 1/255345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1841/435, 2918/2935.
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 1841/435,2918/2935?
Given fractions are 1841/435,2918/2935
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 1841/435,2918/2935, numerators are 1841,2918
Denominators are 435,2935
The GCF of 1841,2918 is 1 .
LCM of 435,2935 is 255345.
The greatest common factor of 1841/435,2918/2935 = [GCF of 1841,2918]/[LCM of 435,2935]= 1/255345
Therefore, the GCF of 1841/435,2918/2935 is 1/255345.
To find the highest common factor of 1841,2918, we have to find the factors of both numbers and list the highest common factor.
The factors of 1841 are 1, 7, 263, 1841
The factors of 2918 are 1, 2, 1459, 2918
The HCF of 1841,2918 is 1.
Lets's calculate GCF of 1841,2918
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1841,2918 By Matching Biggest Common Factor Method
Now, list down the factors of 1841
:1,7,263,1841
Now, list down the factors of 2918
:1,2,1459,2918
Greatest Common Factor
We found the factors 1841,2918 . The biggest common factor number is the GCF number.
So the greatest common factor 1841,2918 is 1.
Lets's calculate LCM of 435,2935
| 5 | 435, 2935 |
| 87, 587 |
∴ So the LCM of the given numbers is 5 x 87 x 587 = 255345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255345
Therefore, the GCF of Fractions 1841/435,2918/2935 is 1/255345
Least Common Multiple of 435,2935 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 435,2935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,2935) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(435,2935) x common factors =5 x 1 = 5
LCM(435,2935) = ( 435 × 2935 ) / 5
LCM(435,2935) = 1276725 / 5
LCM(435,2935) = 255345
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FAQs on GCF of Fractions of 1841/435, 2918/2935
1. What is the HCF of 1841,2918?
The HCF of 1841,2918 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 1841/435, 2918/2935?
Answer: GCF of Numerators as per given numbers 1841/435, 2918/2935 is
GCF of Numerators i.e. for 1841,2918 is 1
LCM of denominators i.e. for 435,2935 is 255345.
Thus, GCF of Fractions is 1/255345.Finally, GCF of Fractions for 1841/435, 2918/2935 is 1/255345.