GCF of 69/271, 7241/1844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 69/271, 7241/1844 i.e 1/499724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/271, 7241/1844.
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 69/271,7241/1844?
Given fractions are 69/271,7241/1844
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 69/271,7241/1844, numerators are 69,7241
Denominators are 271,1844
The GCF of 69,7241 is 1 .
LCM of 271,1844 is 499724.
The greatest common factor of 69/271,7241/1844 = [GCF of 69,7241]/[LCM of 271,1844]= 1/499724
Therefore, the GCF of 69/271,7241/1844 is 1/499724.
To find the highest common factor of 69,7241, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 7241 are 1, 13, 557, 7241
The HCF of 69,7241 is 1.
Lets's calculate GCF of 69,7241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 69,7241 By Matching Biggest Common Factor Method
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 7241
:1,13,557,7241
Greatest Common Factor
We found the factors 69,7241 . The biggest common factor number is the GCF number.
So the greatest common factor 69,7241 is 1.
Lets's calculate LCM of 271,1844
Given numbers has no common factors except 1. So, there LCM is their product i.e 499724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499724
Therefore, the GCF of Fractions 69/271,7241/1844 is 1/499724
Least Common Multiple of 271,1844 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 271,1844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,1844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,1844) x common factors =1 x 1 = 1
LCM(271,1844) = ( 271 × 1844 ) / 1
LCM(271,1844) = 499724 / 1
LCM(271,1844) = 499724
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FAQs on GCF of Fractions of 69/271, 7241/1844
1. What is the HCF of 69,7241?
The HCF of 69,7241 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 69/271, 7241/1844?
Answer: GCF of Numerators as per given numbers 69/271, 7241/1844 is
GCF of Numerators i.e. for 69,7241 is 1
LCM of denominators i.e. for 271,1844 is 499724.
Thus, GCF of Fractions is 1/499724.Finally, GCF of Fractions for 69/271, 7241/1844 is 1/499724.