GCF of 1717/842, 9542/1806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1717/842, 9542/1806 i.e 1/760326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1717/842, 9542/1806.
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 1717/842,9542/1806?
Given fractions are 1717/842,9542/1806
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 1717/842,9542/1806, numerators are 1717,9542
Denominators are 842,1806
The GCF of 1717,9542 is 1 .
LCM of 842,1806 is 760326.
The greatest common factor of 1717/842,9542/1806 = [GCF of 1717,9542]/[LCM of 842,1806]= 1/760326
Therefore, the GCF of 1717/842,9542/1806 is 1/760326.
To find the highest common factor of 1717,9542, we have to find the factors of both numbers and list the highest common factor.
The factors of 1717 are 1, 17, 101, 1717
The factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542
The HCF of 1717,9542 is 1.
Lets's calculate GCF of 1717,9542
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1717,9542 By Matching Biggest Common Factor Method
Now, list down the factors of 1717
:1,17,101,1717
Now, list down the factors of 9542
:1,2,13,26,367,734,4771,9542
Greatest Common Factor
We found the factors 1717,9542 . The biggest common factor number is the GCF number.
So the greatest common factor 1717,9542 is 1.
Lets's calculate LCM of 842,1806
| 2 | 842, 1806 |
| 421, 903 |
∴ So the LCM of the given numbers is 2 x 421 x 903 = 760326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760326
Therefore, the GCF of Fractions 1717/842,9542/1806 is 1/760326
Least Common Multiple of 842,1806 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 842,1806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,1806) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,1806) x common factors =2 x 1 = 2
LCM(842,1806) = ( 842 × 1806 ) / 2
LCM(842,1806) = 1520652 / 2
LCM(842,1806) = 760326
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FAQs on GCF of Fractions of 1717/842, 9542/1806
1. What is the HCF of 1717,9542?
The HCF of 1717,9542 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 1717/842, 9542/1806?
Answer: GCF of Numerators as per given numbers 1717/842, 9542/1806 is
GCF of Numerators i.e. for 1717,9542 is 1
LCM of denominators i.e. for 842,1806 is 760326.
Thus, GCF of Fractions is 1/760326.Finally, GCF of Fractions for 1717/842, 9542/1806 is 1/760326.