GCF of 7261/484, 8042/5731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7261/484, 8042/5731 i.e 1/252164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7261/484, 8042/5731.
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 7261/484,8042/5731?
Given fractions are 7261/484,8042/5731
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 7261/484,8042/5731, numerators are 7261,8042
Denominators are 484,5731
The GCF of 7261,8042 is 1 .
LCM of 484,5731 is 252164.
The greatest common factor of 7261/484,8042/5731 = [GCF of 7261,8042]/[LCM of 484,5731]= 1/252164
Therefore, the GCF of 7261/484,8042/5731 is 1/252164.
To find the highest common factor of 7261,8042, we have to find the factors of both numbers and list the highest common factor.
The factors of 7261 are 1, 53, 137, 7261
The factors of 8042 are 1, 2, 4021, 8042
The HCF of 7261,8042 is 1.
Lets's calculate GCF of 7261,8042
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7261,8042 By Matching Biggest Common Factor Method
Now, list down the factors of 7261
:1,53,137,7261
Now, list down the factors of 8042
:1,2,4021,8042
Greatest Common Factor
We found the factors 7261,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 7261,8042 is 1.
Lets's calculate LCM of 484,5731
| 11 | 484, 5731 |
| 44, 521 |
∴ So the LCM of the given numbers is 11 x 44 x 521 = 252164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252164
Therefore, the GCF of Fractions 7261/484,8042/5731 is 1/252164
Least Common Multiple of 484,5731 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 484,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,5731) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(484,5731) x common factors =11 x 1 = 11
LCM(484,5731) = ( 484 × 5731 ) / 11
LCM(484,5731) = 2773804 / 11
LCM(484,5731) = 252164
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FAQs on GCF of Fractions of 7261/484, 8042/5731
1. What is the HCF of 7261,8042?
The HCF of 7261,8042 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 7261/484, 8042/5731?
Answer: GCF of Numerators as per given numbers 7261/484, 8042/5731 is
GCF of Numerators i.e. for 7261,8042 is 1
LCM of denominators i.e. for 484,5731 is 252164.
Thus, GCF of Fractions is 1/252164.Finally, GCF of Fractions for 7261/484, 8042/5731 is 1/252164.