GCF of 5497/827, 1611/1921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5497/827, 1611/1921 i.e 1/1588667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5497/827, 1611/1921.
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 5497/827,1611/1921?
Given fractions are 5497/827,1611/1921
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 5497/827,1611/1921, numerators are 5497,1611
Denominators are 827,1921
The GCF of 5497,1611 is 1 .
LCM of 827,1921 is 1588667.
The greatest common factor of 5497/827,1611/1921 = [GCF of 5497,1611]/[LCM of 827,1921]= 1/1588667
Therefore, the GCF of 5497/827,1611/1921 is 1/1588667.
To find the highest common factor of 5497,1611, we have to find the factors of both numbers and list the highest common factor.
The factors of 5497 are 1, 23, 239, 5497
The factors of 1611 are 1, 3, 9, 179, 537, 1611
The HCF of 5497,1611 is 1.
Lets's calculate GCF of 5497,1611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5497,1611 By Matching Biggest Common Factor Method
Now, list down the factors of 5497
:1,23,239,5497
Now, list down the factors of 1611
:1,3,9,179,537,1611
Greatest Common Factor
We found the factors 5497,1611 . The biggest common factor number is the GCF number.
So the greatest common factor 5497,1611 is 1.
Lets's calculate LCM of 827,1921
Given numbers has no common factors except 1. So, there LCM is their product i.e 1588667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1588667
Therefore, the GCF of Fractions 5497/827,1611/1921 is 1/1588667
Least Common Multiple of 827,1921 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 827,1921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,1921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,1921) x common factors =1 x 1 = 1
LCM(827,1921) = ( 827 × 1921 ) / 1
LCM(827,1921) = 1588667 / 1
LCM(827,1921) = 1588667
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5497/827, 1611/1921
1. What is the HCF of 5497,1611?
The HCF of 5497,1611 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 5497/827, 1611/1921?
Answer: GCF of Numerators as per given numbers 5497/827, 1611/1921 is
GCF of Numerators i.e. for 5497,1611 is 1
LCM of denominators i.e. for 827,1921 is 1588667.
Thus, GCF of Fractions is 1/1588667.Finally, GCF of Fractions for 5497/827, 1611/1921 is 1/1588667.