GCF of 5034/173, 9208/2906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5034/173, 9208/2906 i.e 2/502738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5034/173, 9208/2906.
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 5034/173,9208/2906?
Given fractions are 5034/173,9208/2906
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 5034/173,9208/2906, numerators are 5034,9208
Denominators are 173,2906
The GCF of 5034,9208 is 2 .
LCM of 173,2906 is 502738.
The greatest common factor of 5034/173,9208/2906 = [GCF of 5034,9208]/[LCM of 173,2906]= 2/502738
Therefore, the GCF of 5034/173,9208/2906 is 2/502738.
To find the highest common factor of 5034,9208, we have to find the factors of both numbers and list the highest common factor.
The factors of 5034 are 1, 2, 3, 6, 839, 1678, 2517, 5034
The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208
The HCF of 5034,9208 is 2.
Lets's calculate GCF of 5034,9208
| 2 | 5034, 9208 |
| 2517, 4604 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5034,9208 By Matching Biggest Common Factor Method
Now, list down the factors of 5034
:1,2,3,6,839,1678,2517,5034
Now, list down the factors of 9208
:1,2,4,8,1151,2302,4604,9208
Greatest Common Factor
We found the factors 5034,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 5034,9208 is 2.
Lets's calculate LCM of 173,2906
Given numbers has no common factors except 1. So, there LCM is their product i.e 502738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/502738
Therefore, the GCF of Fractions 5034/173,9208/2906 is 2/502738
Least Common Multiple of 173,2906 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 173,2906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,2906) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,2906) x common factors =1 x 1 = 1
LCM(173,2906) = ( 173 × 2906 ) / 1
LCM(173,2906) = 502738 / 1
LCM(173,2906) = 502738
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5034/173, 9208/2906
1. What is the HCF of 5034,9208?
The HCF of 5034,9208 is 2
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 5034/173, 9208/2906?
Answer: GCF of Numerators as per given numbers 5034/173, 9208/2906 is
GCF of Numerators i.e. for 5034,9208 is 2
LCM of denominators i.e. for 173,2906 is 502738.
Thus, GCF of Fractions is 2/502738.Finally, GCF of Fractions for 5034/173, 9208/2906 is 2/502738.