GCF of 481/32, 561/7156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 481/32, 561/7156 i.e 1/57248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/32, 561/7156.
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 481/32,561/7156?
Given fractions are 481/32,561/7156
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 481/32,561/7156, numerators are 481,561
Denominators are 32,7156
The GCF of 481,561 is 1 .
LCM of 32,7156 is 57248.
The greatest common factor of 481/32,561/7156 = [GCF of 481,561]/[LCM of 32,7156]= 1/57248
Therefore, the GCF of 481/32,561/7156 is 1/57248.
To find the highest common factor of 481,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 481 are 1, 13, 37, 481
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 481,561 is 1.
Lets's calculate GCF of 481,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 481,561 By Matching Biggest Common Factor Method
Now, list down the factors of 481
:1,13,37,481
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 481,561 . The biggest common factor number is the GCF number.
So the greatest common factor 481,561 is 1.
Lets's calculate LCM of 32,7156
| 2 | 32, 7156 |
| 2 | 16, 3578 |
| 8, 1789 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 1789 = 57248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57248
Therefore, the GCF of Fractions 481/32,561/7156 is 1/57248
Least Common Multiple of 32,7156 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 32,7156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,7156) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(32,7156) x common factors =4 x 1 = 4
LCM(32,7156) = ( 32 × 7156 ) / 4
LCM(32,7156) = 228992 / 4
LCM(32,7156) = 57248
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FAQs on GCF of Fractions of 481/32, 561/7156
1. What is the HCF of 481,561?
The HCF of 481,561 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 481/32, 561/7156?
Answer: GCF of Numerators as per given numbers 481/32, 561/7156 is
GCF of Numerators i.e. for 481,561 is 1
LCM of denominators i.e. for 32,7156 is 57248.
Thus, GCF of Fractions is 1/57248.Finally, GCF of Fractions for 481/32, 561/7156 is 1/57248.