GCF of 7084/738, 8067/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7084/738, 8067/514 i.e 1/189666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7084/738, 8067/514.
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 7084/738,8067/514?
Given fractions are 7084/738,8067/514
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 7084/738,8067/514, numerators are 7084,8067
Denominators are 738,514
The GCF of 7084,8067 is 1 .
LCM of 738,514 is 189666.
The greatest common factor of 7084/738,8067/514 = [GCF of 7084,8067]/[LCM of 738,514]= 1/189666
Therefore, the GCF of 7084/738,8067/514 is 1/189666.
To find the highest common factor of 7084,8067, we have to find the factors of both numbers and list the highest common factor.
The factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084
The factors of 8067 are 1, 3, 2689, 8067
The HCF of 7084,8067 is 1.
Lets's calculate GCF of 7084,8067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7084,8067 By Matching Biggest Common Factor Method
Now, list down the factors of 7084
:1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084
Now, list down the factors of 8067
:1,3,2689,8067
Greatest Common Factor
We found the factors 7084,8067 . The biggest common factor number is the GCF number.
So the greatest common factor 7084,8067 is 1.
Lets's calculate LCM of 738,514
| 2 | 738, 514 |
| 369, 257 |
∴ So the LCM of the given numbers is 2 x 369 x 257 = 189666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189666
Therefore, the GCF of Fractions 7084/738,8067/514 is 1/189666
Least Common Multiple of 738,514 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 738,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,514) x common factors =2 x 1 = 2
LCM(738,514) = ( 738 × 514 ) / 2
LCM(738,514) = 379332 / 2
LCM(738,514) = 189666
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7084/738, 8067/514
1. What is the HCF of 7084,8067?
The HCF of 7084,8067 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 7084/738, 8067/514?
Answer: GCF of Numerators as per given numbers 7084/738, 8067/514 is
GCF of Numerators i.e. for 7084,8067 is 1
LCM of denominators i.e. for 738,514 is 189666.
Thus, GCF of Fractions is 1/189666.Finally, GCF of Fractions for 7084/738, 8067/514 is 1/189666.