GCF of 5349/513, 2719/7209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5349/513, 2719/7209 i.e 1/136971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5349/513, 2719/7209.
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 5349/513,2719/7209?
Given fractions are 5349/513,2719/7209
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 5349/513,2719/7209, numerators are 5349,2719
Denominators are 513,7209
The GCF of 5349,2719 is 1 .
LCM of 513,7209 is 136971.
The greatest common factor of 5349/513,2719/7209 = [GCF of 5349,2719]/[LCM of 513,7209]= 1/136971
Therefore, the GCF of 5349/513,2719/7209 is 1/136971.
To find the highest common factor of 5349,2719, we have to find the factors of both numbers and list the highest common factor.
The factors of 5349 are 1, 3, 1783, 5349
The factors of 2719 are 1, 2719
The HCF of 5349,2719 is 1.
Lets's calculate GCF of 5349,2719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5349,2719 By Matching Biggest Common Factor Method
Now, list down the factors of 5349
:1,3,1783,5349
Now, list down the factors of 2719
:1,2719
Greatest Common Factor
We found the factors 5349,2719 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,2719 is 1.
Lets's calculate LCM of 513,7209
| 3 | 513, 7209 |
| 3 | 171, 2403 |
| 3 | 57, 801 |
| 19, 267 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 19 x 267 = 136971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136971
Therefore, the GCF of Fractions 5349/513,2719/7209 is 1/136971
Least Common Multiple of 513,7209 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 513,7209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,7209) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(513,7209) x common factors =27 x 1 = 27
LCM(513,7209) = ( 513 × 7209 ) / 27
LCM(513,7209) = 3698217 / 27
LCM(513,7209) = 136971
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5349/513, 2719/7209
1. What is the HCF of 5349,2719?
The HCF of 5349,2719 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 5349/513, 2719/7209?
Answer: GCF of Numerators as per given numbers 5349/513, 2719/7209 is
GCF of Numerators i.e. for 5349,2719 is 1
LCM of denominators i.e. for 513,7209 is 136971.
Thus, GCF of Fractions is 1/136971.Finally, GCF of Fractions for 5349/513, 2719/7209 is 1/136971.