GCF of 441/262, 794/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/262, 794/302 i.e 1/39562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/262, 794/302.
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 441/262,794/302?
Given fractions are 441/262,794/302
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 441/262,794/302, numerators are 441,794
Denominators are 262,302
The GCF of 441,794 is 1 .
LCM of 262,302 is 39562.
The greatest common factor of 441/262,794/302 = [GCF of 441,794]/[LCM of 262,302]= 1/39562
Therefore, the GCF of 441/262,794/302 is 1/39562.
To find the highest common factor of 441,794, 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 794 are 1, 2, 397, 794
The HCF of 441,794 is 1.
Lets's calculate GCF of 441,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 441,794 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 794
:1,2,397,794
Greatest Common Factor
We found the factors 441,794 . The biggest common factor number is the GCF number.
So the greatest common factor 441,794 is 1.
Lets's calculate LCM of 262,302
| 2 | 262, 302 |
| 131, 151 |
∴ So the LCM of the given numbers is 2 x 131 x 151 = 39562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39562
Therefore, the GCF of Fractions 441/262,794/302 is 1/39562
Least Common Multiple of 262,302 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 262,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,302) x common factors =2 x 1 = 2
LCM(262,302) = ( 262 × 302 ) / 2
LCM(262,302) = 79124 / 2
LCM(262,302) = 39562
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FAQs on GCF of Fractions of 441/262, 794/302
1. What is the HCF of 441,794?
The HCF of 441,794 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 441/262, 794/302?
Answer: GCF of Numerators as per given numbers 441/262, 794/302 is
GCF of Numerators i.e. for 441,794 is 1
LCM of denominators i.e. for 262,302 is 39562.
Thus, GCF of Fractions is 1/39562.Finally, GCF of Fractions for 441/262, 794/302 is 1/39562.