GCF of 4611/726, 1597/7869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4611/726, 1597/7869 i.e 1/1904298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4611/726, 1597/7869.
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 4611/726,1597/7869?
Given fractions are 4611/726,1597/7869
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 4611/726,1597/7869, numerators are 4611,1597
Denominators are 726,7869
The GCF of 4611,1597 is 1 .
LCM of 726,7869 is 1904298.
The greatest common factor of 4611/726,1597/7869 = [GCF of 4611,1597]/[LCM of 726,7869]= 1/1904298
Therefore, the GCF of 4611/726,1597/7869 is 1/1904298.
To find the highest common factor of 4611,1597, we have to find the factors of both numbers and list the highest common factor.
The factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611
The factors of 1597 are 1, 1597
The HCF of 4611,1597 is 1.
Lets's calculate GCF of 4611,1597
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4611,1597 By Matching Biggest Common Factor Method
Now, list down the factors of 4611
:1,3,29,53,87,159,1537,4611
Now, list down the factors of 1597
:1,1597
Greatest Common Factor
We found the factors 4611,1597 . The biggest common factor number is the GCF number.
So the greatest common factor 4611,1597 is 1.
Lets's calculate LCM of 726,7869
| 3 | 726, 7869 |
| 242, 2623 |
∴ So the LCM of the given numbers is 3 x 242 x 2623 = 1904298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1904298
Therefore, the GCF of Fractions 4611/726,1597/7869 is 1/1904298
Least Common Multiple of 726,7869 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 726,7869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,7869) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(726,7869) x common factors =3 x 1 = 3
LCM(726,7869) = ( 726 × 7869 ) / 3
LCM(726,7869) = 5712894 / 3
LCM(726,7869) = 1904298
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FAQs on GCF of Fractions of 4611/726, 1597/7869
1. What is the HCF of 4611,1597?
The HCF of 4611,1597 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 4611/726, 1597/7869?
Answer: GCF of Numerators as per given numbers 4611/726, 1597/7869 is
GCF of Numerators i.e. for 4611,1597 is 1
LCM of denominators i.e. for 726,7869 is 1904298.
Thus, GCF of Fractions is 1/1904298.Finally, GCF of Fractions for 4611/726, 1597/7869 is 1/1904298.