GCF of 7430/328, 1743/3972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7430/328, 1743/3972 i.e 1/325704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7430/328, 1743/3972.
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 7430/328,1743/3972?
Given fractions are 7430/328,1743/3972
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 7430/328,1743/3972, numerators are 7430,1743
Denominators are 328,3972
The GCF of 7430,1743 is 1 .
LCM of 328,3972 is 325704.
The greatest common factor of 7430/328,1743/3972 = [GCF of 7430,1743]/[LCM of 328,3972]= 1/325704
Therefore, the GCF of 7430/328,1743/3972 is 1/325704.
To find the highest common factor of 7430,1743, we have to find the factors of both numbers and list the highest common factor.
The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743
The HCF of 7430,1743 is 1.
Lets's calculate GCF of 7430,1743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7430,1743 By Matching Biggest Common Factor Method
Now, list down the factors of 7430
:1,2,5,10,743,1486,3715,7430
Now, list down the factors of 1743
:1,3,7,21,83,249,581,1743
Greatest Common Factor
We found the factors 7430,1743 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,1743 is 1.
Lets's calculate LCM of 328,3972
| 2 | 328, 3972 |
| 2 | 164, 1986 |
| 82, 993 |
∴ So the LCM of the given numbers is 2 x 2 x 82 x 993 = 325704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325704
Therefore, the GCF of Fractions 7430/328,1743/3972 is 1/325704
Least Common Multiple of 328,3972 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 328,3972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,3972) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(328,3972) x common factors =4 x 1 = 4
LCM(328,3972) = ( 328 × 3972 ) / 4
LCM(328,3972) = 1302816 / 4
LCM(328,3972) = 325704
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7430/328, 1743/3972
1. What is the HCF of 7430,1743?
The HCF of 7430,1743 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 7430/328, 1743/3972?
Answer: GCF of Numerators as per given numbers 7430/328, 1743/3972 is
GCF of Numerators i.e. for 7430,1743 is 1
LCM of denominators i.e. for 328,3972 is 325704.
Thus, GCF of Fractions is 1/325704.Finally, GCF of Fractions for 7430/328, 1743/3972 is 1/325704.