GCF of 1741/717, 4432/5613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1741/717, 4432/5613 i.e 1/1341507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1741/717, 4432/5613.
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 1741/717,4432/5613?
Given fractions are 1741/717,4432/5613
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 1741/717,4432/5613, numerators are 1741,4432
Denominators are 717,5613
The GCF of 1741,4432 is 1 .
LCM of 717,5613 is 1341507.
The greatest common factor of 1741/717,4432/5613 = [GCF of 1741,4432]/[LCM of 717,5613]= 1/1341507
Therefore, the GCF of 1741/717,4432/5613 is 1/1341507.
To find the highest common factor of 1741,4432, we have to find the factors of both numbers and list the highest common factor.
The factors of 1741 are 1, 1741
The factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432
The HCF of 1741,4432 is 1.
Lets's calculate GCF of 1741,4432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1741,4432 By Matching Biggest Common Factor Method
Now, list down the factors of 1741
:1,1741
Now, list down the factors of 4432
:1,2,4,8,16,277,554,1108,2216,4432
Greatest Common Factor
We found the factors 1741,4432 . The biggest common factor number is the GCF number.
So the greatest common factor 1741,4432 is 1.
Lets's calculate LCM of 717,5613
| 3 | 717, 5613 |
| 239, 1871 |
∴ So the LCM of the given numbers is 3 x 239 x 1871 = 1341507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1341507
Therefore, the GCF of Fractions 1741/717,4432/5613 is 1/1341507
Least Common Multiple of 717,5613 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 717,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,5613) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,5613) x common factors =3 x 1 = 3
LCM(717,5613) = ( 717 × 5613 ) / 3
LCM(717,5613) = 4024521 / 3
LCM(717,5613) = 1341507
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FAQs on GCF of Fractions of 1741/717, 4432/5613
1. What is the HCF of 1741,4432?
The HCF of 1741,4432 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 1741/717, 4432/5613?
Answer: GCF of Numerators as per given numbers 1741/717, 4432/5613 is
GCF of Numerators i.e. for 1741,4432 is 1
LCM of denominators i.e. for 717,5613 is 1341507.
Thus, GCF of Fractions is 1/1341507.Finally, GCF of Fractions for 1741/717, 4432/5613 is 1/1341507.