GCF of 6987/626, 3409/9242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6987/626, 3409/9242 i.e 1/2892746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6987/626, 3409/9242.
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 6987/626,3409/9242?
Given fractions are 6987/626,3409/9242
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 6987/626,3409/9242, numerators are 6987,3409
Denominators are 626,9242
The GCF of 6987,3409 is 1 .
LCM of 626,9242 is 2892746.
The greatest common factor of 6987/626,3409/9242 = [GCF of 6987,3409]/[LCM of 626,9242]= 1/2892746
Therefore, the GCF of 6987/626,3409/9242 is 1/2892746.
To find the highest common factor of 6987,3409, we have to find the factors of both numbers and list the highest common factor.
The factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987
The factors of 3409 are 1, 7, 487, 3409
The HCF of 6987,3409 is 1.
Lets's calculate GCF of 6987,3409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6987,3409 By Matching Biggest Common Factor Method
Now, list down the factors of 6987
:1,3,17,51,137,411,2329,6987
Now, list down the factors of 3409
:1,7,487,3409
Greatest Common Factor
We found the factors 6987,3409 . The biggest common factor number is the GCF number.
So the greatest common factor 6987,3409 is 1.
Lets's calculate LCM of 626,9242
| 2 | 626, 9242 |
| 313, 4621 |
∴ So the LCM of the given numbers is 2 x 313 x 4621 = 2892746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2892746
Therefore, the GCF of Fractions 6987/626,3409/9242 is 1/2892746
Least Common Multiple of 626,9242 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 626,9242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,9242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,9242) x common factors =2 x 1 = 2
LCM(626,9242) = ( 626 × 9242 ) / 2
LCM(626,9242) = 5785492 / 2
LCM(626,9242) = 2892746
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6987/626, 3409/9242
1. What is the HCF of 6987,3409?
The HCF of 6987,3409 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 6987/626, 3409/9242?
Answer: GCF of Numerators as per given numbers 6987/626, 3409/9242 is
GCF of Numerators i.e. for 6987,3409 is 1
LCM of denominators i.e. for 626,9242 is 2892746.
Thus, GCF of Fractions is 1/2892746.Finally, GCF of Fractions for 6987/626, 3409/9242 is 1/2892746.