GCF of 5333/717, 8072/9666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5333/717, 8072/9666 i.e 1/2310174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5333/717, 8072/9666.
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 5333/717,8072/9666?
Given fractions are 5333/717,8072/9666
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 5333/717,8072/9666, numerators are 5333,8072
Denominators are 717,9666
The GCF of 5333,8072 is 1 .
LCM of 717,9666 is 2310174.
The greatest common factor of 5333/717,8072/9666 = [GCF of 5333,8072]/[LCM of 717,9666]= 1/2310174
Therefore, the GCF of 5333/717,8072/9666 is 1/2310174.
To find the highest common factor of 5333,8072, we have to find the factors of both numbers and list the highest common factor.
The factors of 5333 are 1, 5333
The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072
The HCF of 5333,8072 is 1.
Lets's calculate GCF of 5333,8072
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5333,8072 By Matching Biggest Common Factor Method
Now, list down the factors of 5333
:1,5333
Now, list down the factors of 8072
:1,2,4,8,1009,2018,4036,8072
Greatest Common Factor
We found the factors 5333,8072 . The biggest common factor number is the GCF number.
So the greatest common factor 5333,8072 is 1.
Lets's calculate LCM of 717,9666
| 3 | 717, 9666 |
| 239, 3222 |
∴ So the LCM of the given numbers is 3 x 239 x 3222 = 2310174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2310174
Therefore, the GCF of Fractions 5333/717,8072/9666 is 1/2310174
Least Common Multiple of 717,9666 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 717,9666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,9666) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,9666) x common factors =3 x 1 = 3
LCM(717,9666) = ( 717 × 9666 ) / 3
LCM(717,9666) = 6930522 / 3
LCM(717,9666) = 2310174
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FAQs on GCF of Fractions of 5333/717, 8072/9666
1. What is the HCF of 5333,8072?
The HCF of 5333,8072 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 5333/717, 8072/9666?
Answer: GCF of Numerators as per given numbers 5333/717, 8072/9666 is
GCF of Numerators i.e. for 5333,8072 is 1
LCM of denominators i.e. for 717,9666 is 2310174.
Thus, GCF of Fractions is 1/2310174.Finally, GCF of Fractions for 5333/717, 8072/9666 is 1/2310174.