GCF of 5234/281, 3927/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5234/281, 3927/764 i.e 1/214684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5234/281, 3927/764.
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 5234/281,3927/764?
Given fractions are 5234/281,3927/764
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 5234/281,3927/764, numerators are 5234,3927
Denominators are 281,764
The GCF of 5234,3927 is 1 .
LCM of 281,764 is 214684.
The greatest common factor of 5234/281,3927/764 = [GCF of 5234,3927]/[LCM of 281,764]= 1/214684
Therefore, the GCF of 5234/281,3927/764 is 1/214684.
To find the highest common factor of 5234,3927, we have to find the factors of both numbers and list the highest common factor.
The factors of 5234 are 1, 2, 2617, 5234
The factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927
The HCF of 5234,3927 is 1.
Lets's calculate GCF of 5234,3927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5234,3927 By Matching Biggest Common Factor Method
Now, list down the factors of 5234
:1,2,2617,5234
Now, list down the factors of 3927
:1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927
Greatest Common Factor
We found the factors 5234,3927 . The biggest common factor number is the GCF number.
So the greatest common factor 5234,3927 is 1.
Lets's calculate LCM of 281,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 214684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214684
Therefore, the GCF of Fractions 5234/281,3927/764 is 1/214684
Least Common Multiple of 281,764 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 281,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,764) x common factors =1 x 1 = 1
LCM(281,764) = ( 281 × 764 ) / 1
LCM(281,764) = 214684 / 1
LCM(281,764) = 214684
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5234/281, 3927/764
1. What is the HCF of 5234,3927?
The HCF of 5234,3927 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 5234/281, 3927/764?
Answer: GCF of Numerators as per given numbers 5234/281, 3927/764 is
GCF of Numerators i.e. for 5234,3927 is 1
LCM of denominators i.e. for 281,764 is 214684.
Thus, GCF of Fractions is 1/214684.Finally, GCF of Fractions for 5234/281, 3927/764 is 1/214684.