GCF of 344/91, 665/23, 611/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 344/91, 665/23, 611/483 i.e 1/6279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 344/91, 665/23, 611/483.
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 344/91,665/23,611/483?
Given fractions are 344/91,665/23,611/483
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 344/91,665/23,611/483, numerators are 344,665,611
Denominators are 91,23,483
The GCF of 344,665,611 is 1 .
LCM of 91,23,483 is 6279.
The greatest common factor of 344/91,665/23,611/483 = [GCF of 344,665,611]/[LCM of 91,23,483]= 1/6279
Therefore, the GCF of 344/91,665/23,611/483 is 1/6279.
To find the highest common factor of 344,665,611, we have to find the factors of both numbers and list the highest common factor.
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The factors of 611 are 1, 13, 47, 611
The HCF of 344,665,611 is 1.
Lets's calculate GCF of 344,665,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 344,665,611 By Matching Biggest Common Factor Method
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Now, list down the factors of 611
:1,13,47,611
Greatest Common Factor
We found the factors 344,665,611 . The biggest common factor number is the GCF number.
So the greatest common factor 344,665,611 is 1.
Lets's calculate LCM of 91,23,483
| 7 | 91, 23, 483 |
| 23 | 13, 23, 69 |
| 13, 1, 3 |
∴ So the LCM of the given numbers is 7 x 23 x 13 x 1 x 3 = 6279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6279
Therefore, the GCF of Fractions 344/91,665/23,611/483 is 1/6279
Least Common Multiple of 91,23,483 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 91,23,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,23,483) = 1
common factors(in case of two or more numbers have common factors) = 161
GCF(91,23,483) x common factors =1 x 161 = 161
LCM(91,23,483) = ( 91 × 23 × 483 ) / 161
LCM(91,23,483) = 1010919 / 161
LCM(91,23,483) = 6279
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FAQs on GCF of Fractions of 344/91, 665/23, 611/483
1. What is the HCF of 344,665,611?
The HCF of 344,665,611 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 344/91, 665/23, 611/483?
Answer: GCF of Numerators as per given numbers 344/91, 665/23, 611/483 is
GCF of Numerators i.e. for 344,665,611 is 1
LCM of denominators i.e. for 91,23,483 is 6279.
Thus, GCF of Fractions is 1/6279.Finally, GCF of Fractions for 344/91, 665/23, 611/483 is 1/6279.