GCF of 2441/441, 1417/252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2441/441, 1417/252 i.e 1/1764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2441/441, 1417/252.
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 2441/441,1417/252?
Given fractions are 2441/441,1417/252
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 2441/441,1417/252, numerators are 2441,1417
Denominators are 441,252
The GCF of 2441,1417 is 1 .
LCM of 441,252 is 1764.
The greatest common factor of 2441/441,1417/252 = [GCF of 2441,1417]/[LCM of 441,252]= 1/1764
Therefore, the GCF of 2441/441,1417/252 is 1/1764.
To find the highest common factor of 2441,1417, we have to find the factors of both numbers and list the highest common factor.
The factors of 2441 are 1, 2441
The factors of 1417 are 1, 13, 109, 1417
The HCF of 2441,1417 is 1.
Lets's calculate GCF of 2441,1417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2441,1417 By Matching Biggest Common Factor Method
Now, list down the factors of 2441
:1,2441
Now, list down the factors of 1417
:1,13,109,1417
Greatest Common Factor
We found the factors 2441,1417 . The biggest common factor number is the GCF number.
So the greatest common factor 2441,1417 is 1.
Lets's calculate LCM of 441,252
| 3 | 441, 252 |
| 3 | 147, 84 |
| 7 | 49, 28 |
| 7, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 7 x 4 = 1764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1764
Therefore, the GCF of Fractions 2441/441,1417/252 is 1/1764
Least Common Multiple of 441,252 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 441,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,252) = 63
common factors(in case of two or more numbers have common factors) = 1
GCF(441,252) x common factors =63 x 1 = 63
LCM(441,252) = ( 441 × 252 ) / 63
LCM(441,252) = 111132 / 63
LCM(441,252) = 1764
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FAQs on GCF of Fractions of 2441/441, 1417/252
1. What is the HCF of 2441,1417?
The HCF of 2441,1417 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 2441/441, 1417/252?
Answer: GCF of Numerators as per given numbers 2441/441, 1417/252 is
GCF of Numerators i.e. for 2441,1417 is 1
LCM of denominators i.e. for 441,252 is 1764.
Thus, GCF of Fractions is 1/1764.Finally, GCF of Fractions for 2441/441, 1417/252 is 1/1764.