GCF of 3862/275, 7327/5764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3862/275, 7327/5764 i.e 1/144100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3862/275, 7327/5764.
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 3862/275,7327/5764?
Given fractions are 3862/275,7327/5764
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 3862/275,7327/5764, numerators are 3862,7327
Denominators are 275,5764
The GCF of 3862,7327 is 1 .
LCM of 275,5764 is 144100.
The greatest common factor of 3862/275,7327/5764 = [GCF of 3862,7327]/[LCM of 275,5764]= 1/144100
Therefore, the GCF of 3862/275,7327/5764 is 1/144100.
To find the highest common factor of 3862,7327, we have to find the factors of both numbers and list the highest common factor.
The factors of 3862 are 1, 2, 1931, 3862
The factors of 7327 are 1, 17, 431, 7327
The HCF of 3862,7327 is 1.
Lets's calculate GCF of 3862,7327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3862,7327 By Matching Biggest Common Factor Method
Now, list down the factors of 3862
:1,2,1931,3862
Now, list down the factors of 7327
:1,17,431,7327
Greatest Common Factor
We found the factors 3862,7327 . The biggest common factor number is the GCF number.
So the greatest common factor 3862,7327 is 1.
Lets's calculate LCM of 275,5764
| 11 | 275, 5764 |
| 25, 524 |
∴ So the LCM of the given numbers is 11 x 25 x 524 = 144100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144100
Therefore, the GCF of Fractions 3862/275,7327/5764 is 1/144100
Least Common Multiple of 275,5764 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 275,5764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,5764) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,5764) x common factors =11 x 1 = 11
LCM(275,5764) = ( 275 × 5764 ) / 11
LCM(275,5764) = 1585100 / 11
LCM(275,5764) = 144100
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FAQs on GCF of Fractions of 3862/275, 7327/5764
1. What is the HCF of 3862,7327?
The HCF of 3862,7327 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 3862/275, 7327/5764?
Answer: GCF of Numerators as per given numbers 3862/275, 7327/5764 is
GCF of Numerators i.e. for 3862,7327 is 1
LCM of denominators i.e. for 275,5764 is 144100.
Thus, GCF of Fractions is 1/144100.Finally, GCF of Fractions for 3862/275, 7327/5764 is 1/144100.