GCF of 441/634, 289/490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/634, 289/490 i.e 1/155330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/634, 289/490.
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 441/634,289/490?
Given fractions are 441/634,289/490
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 441/634,289/490, numerators are 441,289
Denominators are 634,490
The GCF of 441,289 is 1 .
LCM of 634,490 is 155330.
The greatest common factor of 441/634,289/490 = [GCF of 441,289]/[LCM of 634,490]= 1/155330
Therefore, the GCF of 441/634,289/490 is 1/155330.
To find the highest common factor of 441,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The factors of 289 are 1, 17, 289
The HCF of 441,289 is 1.
Lets's calculate GCF of 441,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 441,289 By Matching Biggest Common Factor Method
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 441,289 . The biggest common factor number is the GCF number.
So the greatest common factor 441,289 is 1.
Lets's calculate LCM of 634,490
| 2 | 634, 490 |
| 317, 245 |
∴ So the LCM of the given numbers is 2 x 317 x 245 = 155330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155330
Therefore, the GCF of Fractions 441/634,289/490 is 1/155330
Least Common Multiple of 634,490 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 634,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,490) x common factors =2 x 1 = 2
LCM(634,490) = ( 634 × 490 ) / 2
LCM(634,490) = 310660 / 2
LCM(634,490) = 155330
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FAQs on GCF of Fractions of 441/634, 289/490
1. What is the HCF of 441,289?
The HCF of 441,289 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 441/634, 289/490?
Answer: GCF of Numerators as per given numbers 441/634, 289/490 is
GCF of Numerators i.e. for 441,289 is 1
LCM of denominators i.e. for 634,490 is 155330.
Thus, GCF of Fractions is 1/155330.Finally, GCF of Fractions for 441/634, 289/490 is 1/155330.