GCF of 5291/773, 1765/1827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5291/773, 1765/1827 i.e 1/1412271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5291/773, 1765/1827.
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 5291/773,1765/1827?
Given fractions are 5291/773,1765/1827
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 5291/773,1765/1827, numerators are 5291,1765
Denominators are 773,1827
The GCF of 5291,1765 is 1 .
LCM of 773,1827 is 1412271.
The greatest common factor of 5291/773,1765/1827 = [GCF of 5291,1765]/[LCM of 773,1827]= 1/1412271
Therefore, the GCF of 5291/773,1765/1827 is 1/1412271.
To find the highest common factor of 5291,1765, we have to find the factors of both numbers and list the highest common factor.
The factors of 5291 are 1, 11, 13, 37, 143, 407, 481, 5291
The factors of 1765 are 1, 5, 353, 1765
The HCF of 5291,1765 is 1.
Lets's calculate GCF of 5291,1765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5291,1765 By Matching Biggest Common Factor Method
Now, list down the factors of 5291
:1,11,13,37,143,407,481,5291
Now, list down the factors of 1765
:1,5,353,1765
Greatest Common Factor
We found the factors 5291,1765 . The biggest common factor number is the GCF number.
So the greatest common factor 5291,1765 is 1.
Lets's calculate LCM of 773,1827
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1412271
Therefore, the GCF of Fractions 5291/773,1765/1827 is 1/1412271
Least Common Multiple of 773,1827 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 773,1827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,1827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,1827) x common factors =1 x 1 = 1
LCM(773,1827) = ( 773 × 1827 ) / 1
LCM(773,1827) = 1412271 / 1
LCM(773,1827) = 1412271
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FAQs on GCF of Fractions of 5291/773, 1765/1827
1. What is the HCF of 5291,1765?
The HCF of 5291,1765 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 5291/773, 1765/1827?
Answer: GCF of Numerators as per given numbers 5291/773, 1765/1827 is
GCF of Numerators i.e. for 5291,1765 is 1
LCM of denominators i.e. for 773,1827 is 1412271.
Thus, GCF of Fractions is 1/1412271.Finally, GCF of Fractions for 5291/773, 1765/1827 is 1/1412271.