GCF of 5351/294, 6723/3292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5351/294, 6723/3292 i.e 1/483924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5351/294, 6723/3292.
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 5351/294,6723/3292?
Given fractions are 5351/294,6723/3292
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 5351/294,6723/3292, numerators are 5351,6723
Denominators are 294,3292
The GCF of 5351,6723 is 1 .
LCM of 294,3292 is 483924.
The greatest common factor of 5351/294,6723/3292 = [GCF of 5351,6723]/[LCM of 294,3292]= 1/483924
Therefore, the GCF of 5351/294,6723/3292 is 1/483924.
To find the highest common factor of 5351,6723, we have to find the factors of both numbers and list the highest common factor.
The factors of 5351 are 1, 5351
The factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723
The HCF of 5351,6723 is 1.
Lets's calculate GCF of 5351,6723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5351,6723 By Matching Biggest Common Factor Method
Now, list down the factors of 5351
:1,5351
Now, list down the factors of 6723
:1,3,9,27,81,83,249,747,2241,6723
Greatest Common Factor
We found the factors 5351,6723 . The biggest common factor number is the GCF number.
So the greatest common factor 5351,6723 is 1.
Lets's calculate LCM of 294,3292
| 2 | 294, 3292 |
| 147, 1646 |
∴ So the LCM of the given numbers is 2 x 147 x 1646 = 483924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483924
Therefore, the GCF of Fractions 5351/294,6723/3292 is 1/483924
Least Common Multiple of 294,3292 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 294,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,3292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(294,3292) x common factors =2 x 1 = 2
LCM(294,3292) = ( 294 × 3292 ) / 2
LCM(294,3292) = 967848 / 2
LCM(294,3292) = 483924
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FAQs on GCF of Fractions of 5351/294, 6723/3292
1. What is the HCF of 5351,6723?
The HCF of 5351,6723 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 5351/294, 6723/3292?
Answer: GCF of Numerators as per given numbers 5351/294, 6723/3292 is
GCF of Numerators i.e. for 5351,6723 is 1
LCM of denominators i.e. for 294,3292 is 483924.
Thus, GCF of Fractions is 1/483924.Finally, GCF of Fractions for 5351/294, 6723/3292 is 1/483924.