GCF of 5761/284, 1132/1372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5761/284, 1132/1372 i.e 1/97412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5761/284, 1132/1372.
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 5761/284,1132/1372?
Given fractions are 5761/284,1132/1372
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 5761/284,1132/1372, numerators are 5761,1132
Denominators are 284,1372
The GCF of 5761,1132 is 1 .
LCM of 284,1372 is 97412.
The greatest common factor of 5761/284,1132/1372 = [GCF of 5761,1132]/[LCM of 284,1372]= 1/97412
Therefore, the GCF of 5761/284,1132/1372 is 1/97412.
To find the highest common factor of 5761,1132, we have to find the factors of both numbers and list the highest common factor.
The factors of 5761 are 1, 7, 823, 5761
The factors of 1132 are 1, 2, 4, 283, 566, 1132
The HCF of 5761,1132 is 1.
Lets's calculate GCF of 5761,1132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5761,1132 By Matching Biggest Common Factor Method
Now, list down the factors of 5761
:1,7,823,5761
Now, list down the factors of 1132
:1,2,4,283,566,1132
Greatest Common Factor
We found the factors 5761,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 5761,1132 is 1.
Lets's calculate LCM of 284,1372
| 2 | 284, 1372 |
| 2 | 142, 686 |
| 71, 343 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 343 = 97412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97412
Therefore, the GCF of Fractions 5761/284,1132/1372 is 1/97412
Least Common Multiple of 284,1372 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 284,1372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,1372) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,1372) x common factors =4 x 1 = 4
LCM(284,1372) = ( 284 × 1372 ) / 4
LCM(284,1372) = 389648 / 4
LCM(284,1372) = 97412
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FAQs on GCF of Fractions of 5761/284, 1132/1372
1. What is the HCF of 5761,1132?
The HCF of 5761,1132 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 5761/284, 1132/1372?
Answer: GCF of Numerators as per given numbers 5761/284, 1132/1372 is
GCF of Numerators i.e. for 5761,1132 is 1
LCM of denominators i.e. for 284,1372 is 97412.
Thus, GCF of Fractions is 1/97412.Finally, GCF of Fractions for 5761/284, 1132/1372 is 1/97412.