GCF of 5762/591, 4539/6198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5762/591, 4539/6198 i.e 1/1221006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5762/591, 4539/6198.
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 5762/591,4539/6198?
Given fractions are 5762/591,4539/6198
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 5762/591,4539/6198, numerators are 5762,4539
Denominators are 591,6198
The GCF of 5762,4539 is 1 .
LCM of 591,6198 is 1221006.
The greatest common factor of 5762/591,4539/6198 = [GCF of 5762,4539]/[LCM of 591,6198]= 1/1221006
Therefore, the GCF of 5762/591,4539/6198 is 1/1221006.
To find the highest common factor of 5762,4539, we have to find the factors of both numbers and list the highest common factor.
The factors of 5762 are 1, 2, 43, 67, 86, 134, 2881, 5762
The factors of 4539 are 1, 3, 17, 51, 89, 267, 1513, 4539
The HCF of 5762,4539 is 1.
Lets's calculate GCF of 5762,4539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5762,4539 By Matching Biggest Common Factor Method
Now, list down the factors of 5762
:1,2,43,67,86,134,2881,5762
Now, list down the factors of 4539
:1,3,17,51,89,267,1513,4539
Greatest Common Factor
We found the factors 5762,4539 . The biggest common factor number is the GCF number.
So the greatest common factor 5762,4539 is 1.
Lets's calculate LCM of 591,6198
| 3 | 591, 6198 |
| 197, 2066 |
∴ So the LCM of the given numbers is 3 x 197 x 2066 = 1221006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1221006
Therefore, the GCF of Fractions 5762/591,4539/6198 is 1/1221006
Least Common Multiple of 591,6198 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 591,6198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,6198) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,6198) x common factors =3 x 1 = 3
LCM(591,6198) = ( 591 × 6198 ) / 3
LCM(591,6198) = 3663018 / 3
LCM(591,6198) = 1221006
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FAQs on GCF of Fractions of 5762/591, 4539/6198
1. What is the HCF of 5762,4539?
The HCF of 5762,4539 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 5762/591, 4539/6198?
Answer: GCF of Numerators as per given numbers 5762/591, 4539/6198 is
GCF of Numerators i.e. for 5762,4539 is 1
LCM of denominators i.e. for 591,6198 is 1221006.
Thus, GCF of Fractions is 1/1221006.Finally, GCF of Fractions for 5762/591, 4539/6198 is 1/1221006.