GCF of 3337/863, 2803/573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3337/863, 2803/573 i.e 1/494499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3337/863, 2803/573.
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 3337/863,2803/573?
Given fractions are 3337/863,2803/573
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 3337/863,2803/573, numerators are 3337,2803
Denominators are 863,573
The GCF of 3337,2803 is 1 .
LCM of 863,573 is 494499.
The greatest common factor of 3337/863,2803/573 = [GCF of 3337,2803]/[LCM of 863,573]= 1/494499
Therefore, the GCF of 3337/863,2803/573 is 1/494499.
To find the highest common factor of 3337,2803, we have to find the factors of both numbers and list the highest common factor.
The factors of 3337 are 1, 47, 71, 3337
The factors of 2803 are 1, 2803
The HCF of 3337,2803 is 1.
Lets's calculate GCF of 3337,2803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3337,2803 By Matching Biggest Common Factor Method
Now, list down the factors of 3337
:1,47,71,3337
Now, list down the factors of 2803
:1,2803
Greatest Common Factor
We found the factors 3337,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 3337,2803 is 1.
Lets's calculate LCM of 863,573
Given numbers has no common factors except 1. So, there LCM is their product i.e 494499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494499
Therefore, the GCF of Fractions 3337/863,2803/573 is 1/494499
Least Common Multiple of 863,573 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 863,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,573) x common factors =1 x 1 = 1
LCM(863,573) = ( 863 × 573 ) / 1
LCM(863,573) = 494499 / 1
LCM(863,573) = 494499
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FAQs on GCF of Fractions of 3337/863, 2803/573
1. What is the HCF of 3337,2803?
The HCF of 3337,2803 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 3337/863, 2803/573?
Answer: GCF of Numerators as per given numbers 3337/863, 2803/573 is
GCF of Numerators i.e. for 3337,2803 is 1
LCM of denominators i.e. for 863,573 is 494499.
Thus, GCF of Fractions is 1/494499.Finally, GCF of Fractions for 3337/863, 2803/573 is 1/494499.