GCF of 6997/704, 3963/1310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6997/704, 3963/1310 i.e 1/461120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6997/704, 3963/1310.
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 6997/704,3963/1310?
Given fractions are 6997/704,3963/1310
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 6997/704,3963/1310, numerators are 6997,3963
Denominators are 704,1310
The GCF of 6997,3963 is 1 .
LCM of 704,1310 is 461120.
The greatest common factor of 6997/704,3963/1310 = [GCF of 6997,3963]/[LCM of 704,1310]= 1/461120
Therefore, the GCF of 6997/704,3963/1310 is 1/461120.
To find the highest common factor of 6997,3963, we have to find the factors of both numbers and list the highest common factor.
The factors of 6997 are 1, 6997
The factors of 3963 are 1, 3, 1321, 3963
The HCF of 6997,3963 is 1.
Lets's calculate GCF of 6997,3963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6997,3963 By Matching Biggest Common Factor Method
Now, list down the factors of 6997
:1,6997
Now, list down the factors of 3963
:1,3,1321,3963
Greatest Common Factor
We found the factors 6997,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 6997,3963 is 1.
Lets's calculate LCM of 704,1310
| 2 | 704, 1310 |
| 352, 655 |
∴ So the LCM of the given numbers is 2 x 352 x 655 = 461120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461120
Therefore, the GCF of Fractions 6997/704,3963/1310 is 1/461120
Least Common Multiple of 704,1310 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 704,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,1310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,1310) x common factors =2 x 1 = 2
LCM(704,1310) = ( 704 × 1310 ) / 2
LCM(704,1310) = 922240 / 2
LCM(704,1310) = 461120
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6997/704, 3963/1310
1. What is the HCF of 6997,3963?
The HCF of 6997,3963 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 6997/704, 3963/1310?
Answer: GCF of Numerators as per given numbers 6997/704, 3963/1310 is
GCF of Numerators i.e. for 6997,3963 is 1
LCM of denominators i.e. for 704,1310 is 461120.
Thus, GCF of Fractions is 1/461120.Finally, GCF of Fractions for 6997/704, 3963/1310 is 1/461120.