GCF of 5361/221, 6573/7851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5361/221, 6573/7851 i.e 3/1735071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5361/221, 6573/7851.
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 5361/221,6573/7851?
Given fractions are 5361/221,6573/7851
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 5361/221,6573/7851, numerators are 5361,6573
Denominators are 221,7851
The GCF of 5361,6573 is 3 .
LCM of 221,7851 is 1735071.
The greatest common factor of 5361/221,6573/7851 = [GCF of 5361,6573]/[LCM of 221,7851]= 3/1735071
Therefore, the GCF of 5361/221,6573/7851 is 3/1735071.
To find the highest common factor of 5361,6573, we have to find the factors of both numbers and list the highest common factor.
The factors of 5361 are 1, 3, 1787, 5361
The factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573
The HCF of 5361,6573 is 3.
Lets's calculate GCF of 5361,6573
| 3 | 5361, 6573 |
| 1787, 2191 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5361,6573 By Matching Biggest Common Factor Method
Now, list down the factors of 5361
:1,3,1787,5361
Now, list down the factors of 6573
:1,3,7,21,313,939,2191,6573
Greatest Common Factor
We found the factors 5361,6573 . The biggest common factor number is the GCF number.
So the greatest common factor 5361,6573 is 3.
Lets's calculate LCM of 221,7851
Given numbers has no common factors except 1. So, there LCM is their product i.e 1735071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1735071
Therefore, the GCF of Fractions 5361/221,6573/7851 is 3/1735071
Least Common Multiple of 221,7851 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 221,7851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,7851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,7851) x common factors =1 x 1 = 1
LCM(221,7851) = ( 221 × 7851 ) / 1
LCM(221,7851) = 1735071 / 1
LCM(221,7851) = 1735071
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FAQs on GCF of Fractions of 5361/221, 6573/7851
1. What is the HCF of 5361,6573?
The HCF of 5361,6573 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 5361/221, 6573/7851?
Answer: GCF of Numerators as per given numbers 5361/221, 6573/7851 is
GCF of Numerators i.e. for 5361,6573 is 3
LCM of denominators i.e. for 221,7851 is 1735071.
Thus, GCF of Fractions is 3/1735071.Finally, GCF of Fractions for 5361/221, 6573/7851 is 3/1735071.