GCF of 7271/356, 3542/2667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7271/356, 3542/2667 i.e 11/949452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7271/356, 3542/2667.
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 7271/356,3542/2667?
Given fractions are 7271/356,3542/2667
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 7271/356,3542/2667, numerators are 7271,3542
Denominators are 356,2667
The GCF of 7271,3542 is 11 .
LCM of 356,2667 is 949452.
The greatest common factor of 7271/356,3542/2667 = [GCF of 7271,3542]/[LCM of 356,2667]= 11/949452
Therefore, the GCF of 7271/356,3542/2667 is 11/949452.
To find the highest common factor of 7271,3542, we have to find the factors of both numbers and list the highest common factor.
The factors of 7271 are 1, 11, 661, 7271
The factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542
The HCF of 7271,3542 is 11.
Lets's calculate GCF of 7271,3542
| 11 | 7271, 3542 |
| 661, 322 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7271,3542 By Matching Biggest Common Factor Method
Now, list down the factors of 7271
:1,11,661,7271
Now, list down the factors of 3542
:1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542
Greatest Common Factor
We found the factors 7271,3542 . The biggest common factor number is the GCF number.
So the greatest common factor 7271,3542 is 11.
Lets's calculate LCM of 356,2667
Given numbers has no common factors except 1. So, there LCM is their product i.e 949452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/949452
Therefore, the GCF of Fractions 7271/356,3542/2667 is 11/949452
Least Common Multiple of 356,2667 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 356,2667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,2667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,2667) x common factors =1 x 1 = 1
LCM(356,2667) = ( 356 × 2667 ) / 1
LCM(356,2667) = 949452 / 1
LCM(356,2667) = 949452
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7271/356, 3542/2667
1. What is the HCF of 7271,3542?
The HCF of 7271,3542 is 11
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 7271/356, 3542/2667?
Answer: GCF of Numerators as per given numbers 7271/356, 3542/2667 is
GCF of Numerators i.e. for 7271,3542 is 11
LCM of denominators i.e. for 356,2667 is 949452.
Thus, GCF of Fractions is 11/949452.Finally, GCF of Fractions for 7271/356, 3542/2667 is 11/949452.