GCF of 5541/132, 5810/9683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5541/132, 5810/9683 i.e 1/1278156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5541/132, 5810/9683.
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 5541/132,5810/9683?
Given fractions are 5541/132,5810/9683
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 5541/132,5810/9683, numerators are 5541,5810
Denominators are 132,9683
The GCF of 5541,5810 is 1 .
LCM of 132,9683 is 1278156.
The greatest common factor of 5541/132,5810/9683 = [GCF of 5541,5810]/[LCM of 132,9683]= 1/1278156
Therefore, the GCF of 5541/132,5810/9683 is 1/1278156.
To find the highest common factor of 5541,5810, we have to find the factors of both numbers and list the highest common factor.
The factors of 5541 are 1, 3, 1847, 5541
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
The HCF of 5541,5810 is 1.
Lets's calculate GCF of 5541,5810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5541,5810 By Matching Biggest Common Factor Method
Now, list down the factors of 5541
:1,3,1847,5541
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Greatest Common Factor
We found the factors 5541,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 5541,5810 is 1.
Lets's calculate LCM of 132,9683
Given numbers has no common factors except 1. So, there LCM is their product i.e 1278156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1278156
Therefore, the GCF of Fractions 5541/132,5810/9683 is 1/1278156
Least Common Multiple of 132,9683 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 132,9683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,9683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,9683) x common factors =1 x 1 = 1
LCM(132,9683) = ( 132 × 9683 ) / 1
LCM(132,9683) = 1278156 / 1
LCM(132,9683) = 1278156
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5541/132, 5810/9683
1. What is the HCF of 5541,5810?
The HCF of 5541,5810 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 5541/132, 5810/9683?
Answer: GCF of Numerators as per given numbers 5541/132, 5810/9683 is
GCF of Numerators i.e. for 5541,5810 is 1
LCM of denominators i.e. for 132,9683 is 1278156.
Thus, GCF of Fractions is 1/1278156.Finally, GCF of Fractions for 5541/132, 5810/9683 is 1/1278156.