GCF of 441/98, 329/58, 126/93
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/98, 329/58, 126/93 i.e 7/264306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/98, 329/58, 126/93.
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 441/98,329/58,126/93?
Given fractions are 441/98,329/58,126/93
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 441/98,329/58,126/93, numerators are 441,329,126
Denominators are 98,58,93
The GCF of 441,329,126 is 7 .
LCM of 98,58,93 is 264306.
The greatest common factor of 441/98,329/58,126/93 = [GCF of 441,329,126]/[LCM of 98,58,93]= 7/264306
Therefore, the GCF of 441/98,329/58,126/93 is 7/264306.
To find the highest common factor of 441,329,126, 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 329 are 1, 7, 47, 329
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The HCF of 441,329,126 is 7.
Lets's calculate GCF of 441,329,126
| 7 | 441, 329, 126 |
| 63, 47, 18 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 441,329,126 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 329
:1,7,47,329
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 441,329,126 . The biggest common factor number is the GCF number.
So the greatest common factor 441,329,126 is 7.
Lets's calculate LCM of 98,58,93
| 2 | 98, 58, 93 |
| 49, 29, 93 |
∴ So the LCM of the given numbers is 2 x 49 x 29 x 93 = 264306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/264306
Therefore, the GCF of Fractions 441/98,329/58,126/93 is 7/264306
Least Common Multiple of 98,58,93 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 98,58,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,58,93) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,58,93) x common factors =1 x 2 = 2
LCM(98,58,93) = ( 98 × 58 × 93 ) / 2
LCM(98,58,93) = 528612 / 2
LCM(98,58,93) = 264306
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FAQs on GCF of Fractions of 441/98, 329/58, 126/93
1. What is the HCF of 441,329,126?
The HCF of 441,329,126 is 7
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 441/98, 329/58, 126/93?
Answer: GCF of Numerators as per given numbers 441/98, 329/58, 126/93 is
GCF of Numerators i.e. for 441,329,126 is 7
LCM of denominators i.e. for 98,58,93 is 264306.
Thus, GCF of Fractions is 7/264306.Finally, GCF of Fractions for 441/98, 329/58, 126/93 is 7/264306.