GCF of 1323/558, 7941/5951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1323/558, 7941/5951 i.e 3/3320658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1323/558, 7941/5951.
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 1323/558,7941/5951?
Given fractions are 1323/558,7941/5951
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 1323/558,7941/5951, numerators are 1323,7941
Denominators are 558,5951
The GCF of 1323,7941 is 3 .
LCM of 558,5951 is 3320658.
The greatest common factor of 1323/558,7941/5951 = [GCF of 1323,7941]/[LCM of 558,5951]= 3/3320658
Therefore, the GCF of 1323/558,7941/5951 is 3/3320658.
To find the highest common factor of 1323,7941, we have to find the factors of both numbers and list the highest common factor.
The factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323
The factors of 7941 are 1, 3, 2647, 7941
The HCF of 1323,7941 is 3.
Lets's calculate GCF of 1323,7941
| 3 | 1323, 7941 |
| 441, 2647 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1323,7941 By Matching Biggest Common Factor Method
Now, list down the factors of 1323
:1,3,7,9,21,27,49,63,147,189,441,1323
Now, list down the factors of 7941
:1,3,2647,7941
Greatest Common Factor
We found the factors 1323,7941 . The biggest common factor number is the GCF number.
So the greatest common factor 1323,7941 is 3.
Lets's calculate LCM of 558,5951
Given numbers has no common factors except 1. So, there LCM is their product i.e 3320658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3320658
Therefore, the GCF of Fractions 1323/558,7941/5951 is 3/3320658
Least Common Multiple of 558,5951 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 558,5951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,5951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,5951) x common factors =1 x 1 = 1
LCM(558,5951) = ( 558 × 5951 ) / 1
LCM(558,5951) = 3320658 / 1
LCM(558,5951) = 3320658
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FAQs on GCF of Fractions of 1323/558, 7941/5951
1. What is the HCF of 1323,7941?
The HCF of 1323,7941 is 3
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 1323/558, 7941/5951?
Answer: GCF of Numerators as per given numbers 1323/558, 7941/5951 is
GCF of Numerators i.e. for 1323,7941 is 3
LCM of denominators i.e. for 558,5951 is 3320658.
Thus, GCF of Fractions is 3/3320658.Finally, GCF of Fractions for 1323/558, 7941/5951 is 3/3320658.