GCF of 5045/211, 6541/3828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5045/211, 6541/3828 i.e 1/807708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5045/211, 6541/3828.
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 5045/211,6541/3828?
Given fractions are 5045/211,6541/3828
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 5045/211,6541/3828, numerators are 5045,6541
Denominators are 211,3828
The GCF of 5045,6541 is 1 .
LCM of 211,3828 is 807708.
The greatest common factor of 5045/211,6541/3828 = [GCF of 5045,6541]/[LCM of 211,3828]= 1/807708
Therefore, the GCF of 5045/211,6541/3828 is 1/807708.
To find the highest common factor of 5045,6541, we have to find the factors of both numbers and list the highest common factor.
The factors of 5045 are 1, 5, 1009, 5045
The factors of 6541 are 1, 31, 211, 6541
The HCF of 5045,6541 is 1.
Lets's calculate GCF of 5045,6541
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5045,6541 By Matching Biggest Common Factor Method
Now, list down the factors of 5045
:1,5,1009,5045
Now, list down the factors of 6541
:1,31,211,6541
Greatest Common Factor
We found the factors 5045,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 5045,6541 is 1.
Lets's calculate LCM of 211,3828
Given numbers has no common factors except 1. So, there LCM is their product i.e 807708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/807708
Therefore, the GCF of Fractions 5045/211,6541/3828 is 1/807708
Least Common Multiple of 211,3828 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 211,3828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,3828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,3828) x common factors =1 x 1 = 1
LCM(211,3828) = ( 211 × 3828 ) / 1
LCM(211,3828) = 807708 / 1
LCM(211,3828) = 807708
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FAQs on GCF of Fractions of 5045/211, 6541/3828
1. What is the HCF of 5045,6541?
The HCF of 5045,6541 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 5045/211, 6541/3828?
Answer: GCF of Numerators as per given numbers 5045/211, 6541/3828 is
GCF of Numerators i.e. for 5045,6541 is 1
LCM of denominators i.e. for 211,3828 is 807708.
Thus, GCF of Fractions is 1/807708.Finally, GCF of Fractions for 5045/211, 6541/3828 is 1/807708.