GCF of 5489/653, 7117/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5489/653, 7117/471 i.e 11/307563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5489/653, 7117/471.
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 5489/653,7117/471?
Given fractions are 5489/653,7117/471
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 5489/653,7117/471, numerators are 5489,7117
Denominators are 653,471
The GCF of 5489,7117 is 11 .
LCM of 653,471 is 307563.
The greatest common factor of 5489/653,7117/471 = [GCF of 5489,7117]/[LCM of 653,471]= 11/307563
Therefore, the GCF of 5489/653,7117/471 is 11/307563.
To find the highest common factor of 5489,7117, we have to find the factors of both numbers and list the highest common factor.
The factors of 5489 are 1, 11, 499, 5489
The factors of 7117 are 1, 11, 647, 7117
The HCF of 5489,7117 is 11.
Lets's calculate GCF of 5489,7117
| 11 | 5489, 7117 |
| 499, 647 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5489,7117 By Matching Biggest Common Factor Method
Now, list down the factors of 5489
:1,11,499,5489
Now, list down the factors of 7117
:1,11,647,7117
Greatest Common Factor
We found the factors 5489,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 5489,7117 is 11.
Lets's calculate LCM of 653,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 307563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/307563
Therefore, the GCF of Fractions 5489/653,7117/471 is 11/307563
Least Common Multiple of 653,471 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 653,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,471) x common factors =1 x 1 = 1
LCM(653,471) = ( 653 × 471 ) / 1
LCM(653,471) = 307563 / 1
LCM(653,471) = 307563
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FAQs on GCF of Fractions of 5489/653, 7117/471
1. What is the HCF of 5489,7117?
The HCF of 5489,7117 is 11
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 5489/653, 7117/471?
Answer: GCF of Numerators as per given numbers 5489/653, 7117/471 is
GCF of Numerators i.e. for 5489,7117 is 11
LCM of denominators i.e. for 653,471 is 307563.
Thus, GCF of Fractions is 11/307563.Finally, GCF of Fractions for 5489/653, 7117/471 is 11/307563.