GCF of 301/514, 2919/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 301/514, 2919/732 i.e 7/188124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/514, 2919/732.
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 301/514,2919/732?
Given fractions are 301/514,2919/732
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 301/514,2919/732, numerators are 301,2919
Denominators are 514,732
The GCF of 301,2919 is 7 .
LCM of 514,732 is 188124.
The greatest common factor of 301/514,2919/732 = [GCF of 301,2919]/[LCM of 514,732]= 7/188124
Therefore, the GCF of 301/514,2919/732 is 7/188124.
To find the highest common factor of 301,2919, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 2919 are 1, 3, 7, 21, 139, 417, 973, 2919
The HCF of 301,2919 is 7.
Lets's calculate GCF of 301,2919
| 7 | 301, 2919 |
| 43, 417 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 301,2919 By Matching Biggest Common Factor Method
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 2919
:1,3,7,21,139,417,973,2919
Greatest Common Factor
We found the factors 301,2919 . The biggest common factor number is the GCF number.
So the greatest common factor 301,2919 is 7.
Lets's calculate LCM of 514,732
| 2 | 514, 732 |
| 257, 366 |
∴ So the LCM of the given numbers is 2 x 257 x 366 = 188124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/188124
Therefore, the GCF of Fractions 301/514,2919/732 is 7/188124
Least Common Multiple of 514,732 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 514,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,732) x common factors =2 x 1 = 2
LCM(514,732) = ( 514 × 732 ) / 2
LCM(514,732) = 376248 / 2
LCM(514,732) = 188124
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 301/514, 2919/732
1. What is the HCF of 301,2919?
The HCF of 301,2919 is 7
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 301/514, 2919/732?
Answer: GCF of Numerators as per given numbers 301/514, 2919/732 is
GCF of Numerators i.e. for 301,2919 is 7
LCM of denominators i.e. for 514,732 is 188124.
Thus, GCF of Fractions is 7/188124.Finally, GCF of Fractions for 301/514, 2919/732 is 7/188124.