GCF of 5803/546, 6331/1653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5803/546, 6331/1653 i.e 1/300846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5803/546, 6331/1653.
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 5803/546,6331/1653?
Given fractions are 5803/546,6331/1653
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 5803/546,6331/1653, numerators are 5803,6331
Denominators are 546,1653
The GCF of 5803,6331 is 1 .
LCM of 546,1653 is 300846.
The greatest common factor of 5803/546,6331/1653 = [GCF of 5803,6331]/[LCM of 546,1653]= 1/300846
Therefore, the GCF of 5803/546,6331/1653 is 1/300846.
To find the highest common factor of 5803,6331, we have to find the factors of both numbers and list the highest common factor.
The factors of 5803 are 1, 7, 829, 5803
The factors of 6331 are 1, 13, 487, 6331
The HCF of 5803,6331 is 1.
Lets's calculate GCF of 5803,6331
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5803,6331 By Matching Biggest Common Factor Method
Now, list down the factors of 5803
:1,7,829,5803
Now, list down the factors of 6331
:1,13,487,6331
Greatest Common Factor
We found the factors 5803,6331 . The biggest common factor number is the GCF number.
So the greatest common factor 5803,6331 is 1.
Lets's calculate LCM of 546,1653
| 3 | 546, 1653 |
| 182, 551 |
∴ So the LCM of the given numbers is 3 x 182 x 551 = 300846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300846
Therefore, the GCF of Fractions 5803/546,6331/1653 is 1/300846
Least Common Multiple of 546,1653 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 546,1653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,1653) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(546,1653) x common factors =3 x 1 = 3
LCM(546,1653) = ( 546 × 1653 ) / 3
LCM(546,1653) = 902538 / 3
LCM(546,1653) = 300846
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FAQs on GCF of Fractions of 5803/546, 6331/1653
1. What is the HCF of 5803,6331?
The HCF of 5803,6331 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 5803/546, 6331/1653?
Answer: GCF of Numerators as per given numbers 5803/546, 6331/1653 is
GCF of Numerators i.e. for 5803,6331 is 1
LCM of denominators i.e. for 546,1653 is 300846.
Thus, GCF of Fractions is 1/300846.Finally, GCF of Fractions for 5803/546, 6331/1653 is 1/300846.