GCF of 5339/711, 5169/7581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5339/711, 5169/7581 i.e 1/1796697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5339/711, 5169/7581.
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 5339/711,5169/7581?
Given fractions are 5339/711,5169/7581
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 5339/711,5169/7581, numerators are 5339,5169
Denominators are 711,7581
The GCF of 5339,5169 is 1 .
LCM of 711,7581 is 1796697.
The greatest common factor of 5339/711,5169/7581 = [GCF of 5339,5169]/[LCM of 711,7581]= 1/1796697
Therefore, the GCF of 5339/711,5169/7581 is 1/1796697.
To find the highest common factor of 5339,5169, we have to find the factors of both numbers and list the highest common factor.
The factors of 5339 are 1, 19, 281, 5339
The factors of 5169 are 1, 3, 1723, 5169
The HCF of 5339,5169 is 1.
Lets's calculate GCF of 5339,5169
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5339,5169 By Matching Biggest Common Factor Method
Now, list down the factors of 5339
:1,19,281,5339
Now, list down the factors of 5169
:1,3,1723,5169
Greatest Common Factor
We found the factors 5339,5169 . The biggest common factor number is the GCF number.
So the greatest common factor 5339,5169 is 1.
Lets's calculate LCM of 711,7581
| 3 | 711, 7581 |
| 237, 2527 |
∴ So the LCM of the given numbers is 3 x 237 x 2527 = 1796697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1796697
Therefore, the GCF of Fractions 5339/711,5169/7581 is 1/1796697
Least Common Multiple of 711,7581 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 711,7581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,7581) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,7581) x common factors =3 x 1 = 3
LCM(711,7581) = ( 711 × 7581 ) / 3
LCM(711,7581) = 5390091 / 3
LCM(711,7581) = 1796697
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5339/711, 5169/7581
1. What is the HCF of 5339,5169?
The HCF of 5339,5169 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 5339/711, 5169/7581?
Answer: GCF of Numerators as per given numbers 5339/711, 5169/7581 is
GCF of Numerators i.e. for 5339,5169 is 1
LCM of denominators i.e. for 711,7581 is 1796697.
Thus, GCF of Fractions is 1/1796697.Finally, GCF of Fractions for 5339/711, 5169/7581 is 1/1796697.