GCF of 5508/332, 6803/1731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5508/332, 6803/1731 i.e 1/574692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5508/332, 6803/1731.
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 5508/332,6803/1731?
Given fractions are 5508/332,6803/1731
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 5508/332,6803/1731, numerators are 5508,6803
Denominators are 332,1731
The GCF of 5508,6803 is 1 .
LCM of 332,1731 is 574692.
The greatest common factor of 5508/332,6803/1731 = [GCF of 5508,6803]/[LCM of 332,1731]= 1/574692
Therefore, the GCF of 5508/332,6803/1731 is 1/574692.
To find the highest common factor of 5508,6803, we have to find the factors of both numbers and list the highest common factor.
The factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508
The factors of 6803 are 1, 6803
The HCF of 5508,6803 is 1.
Lets's calculate GCF of 5508,6803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5508,6803 By Matching Biggest Common Factor Method
Now, list down the factors of 5508
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508
Now, list down the factors of 6803
:1,6803
Greatest Common Factor
We found the factors 5508,6803 . The biggest common factor number is the GCF number.
So the greatest common factor 5508,6803 is 1.
Lets's calculate LCM of 332,1731
Given numbers has no common factors except 1. So, there LCM is their product i.e 574692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574692
Therefore, the GCF of Fractions 5508/332,6803/1731 is 1/574692
Least Common Multiple of 332,1731 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 332,1731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,1731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,1731) x common factors =1 x 1 = 1
LCM(332,1731) = ( 332 × 1731 ) / 1
LCM(332,1731) = 574692 / 1
LCM(332,1731) = 574692
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FAQs on GCF of Fractions of 5508/332, 6803/1731
1. What is the HCF of 5508,6803?
The HCF of 5508,6803 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 5508/332, 6803/1731?
Answer: GCF of Numerators as per given numbers 5508/332, 6803/1731 is
GCF of Numerators i.e. for 5508,6803 is 1
LCM of denominators i.e. for 332,1731 is 574692.
Thus, GCF of Fractions is 1/574692.Finally, GCF of Fractions for 5508/332, 6803/1731 is 1/574692.