GCF of 513/847, 5073/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 513/847, 5073/229 i.e 57/193963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/847, 5073/229.
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 513/847,5073/229?
Given fractions are 513/847,5073/229
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 513/847,5073/229, numerators are 513,5073
Denominators are 847,229
The GCF of 513,5073 is 57 .
LCM of 847,229 is 193963.
The greatest common factor of 513/847,5073/229 = [GCF of 513,5073]/[LCM of 847,229]= 57/193963
Therefore, the GCF of 513/847,5073/229 is 57/193963.
To find the highest common factor of 513,5073, we have to find the factors of both numbers and list the highest common factor.
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073
The HCF of 513,5073 is 57.
Lets's calculate GCF of 513,5073
| 3 | 513, 5073 |
| 19 | 171, 1691 |
| 9, 89 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 513,5073 By Matching Biggest Common Factor Method
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Now, list down the factors of 5073
:1,3,19,57,89,267,1691,5073
Greatest Common Factor
We found the factors 513,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 513,5073 is 57.
Lets's calculate LCM of 847,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 193963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/193963
Therefore, the GCF of Fractions 513/847,5073/229 is 57/193963
Least Common Multiple of 847,229 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 847,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,229) x common factors =1 x 1 = 1
LCM(847,229) = ( 847 × 229 ) / 1
LCM(847,229) = 193963 / 1
LCM(847,229) = 193963
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 513/847, 5073/229
1. What is the HCF of 513,5073?
The HCF of 513,5073 is 57
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 513/847, 5073/229?
Answer: GCF of Numerators as per given numbers 513/847, 5073/229 is
GCF of Numerators i.e. for 513,5073 is 57
LCM of denominators i.e. for 847,229 is 193963.
Thus, GCF of Fractions is 57/193963.Finally, GCF of Fractions for 513/847, 5073/229 is 57/193963.