GCF of 6694/653, 6378/9974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6694/653, 6378/9974 i.e 2/6513022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6694/653, 6378/9974.
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 6694/653,6378/9974?
Given fractions are 6694/653,6378/9974
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 6694/653,6378/9974, numerators are 6694,6378
Denominators are 653,9974
The GCF of 6694,6378 is 2 .
LCM of 653,9974 is 6513022.
The greatest common factor of 6694/653,6378/9974 = [GCF of 6694,6378]/[LCM of 653,9974]= 2/6513022
Therefore, the GCF of 6694/653,6378/9974 is 2/6513022.
To find the highest common factor of 6694,6378, we have to find the factors of both numbers and list the highest common factor.
The factors of 6694 are 1, 2, 3347, 6694
The factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378
The HCF of 6694,6378 is 2.
Lets's calculate GCF of 6694,6378
| 2 | 6694, 6378 |
| 3347, 3189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6694,6378 By Matching Biggest Common Factor Method
Now, list down the factors of 6694
:1,2,3347,6694
Now, list down the factors of 6378
:1,2,3,6,1063,2126,3189,6378
Greatest Common Factor
We found the factors 6694,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 6694,6378 is 2.
Lets's calculate LCM of 653,9974
Given numbers has no common factors except 1. So, there LCM is their product i.e 6513022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6513022
Therefore, the GCF of Fractions 6694/653,6378/9974 is 2/6513022
Least Common Multiple of 653,9974 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 653,9974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,9974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,9974) x common factors =1 x 1 = 1
LCM(653,9974) = ( 653 × 9974 ) / 1
LCM(653,9974) = 6513022 / 1
LCM(653,9974) = 6513022
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FAQs on GCF of Fractions of 6694/653, 6378/9974
1. What is the HCF of 6694,6378?
The HCF of 6694,6378 is 2
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 6694/653, 6378/9974?
Answer: GCF of Numerators as per given numbers 6694/653, 6378/9974 is
GCF of Numerators i.e. for 6694,6378 is 2
LCM of denominators i.e. for 653,9974 is 6513022.
Thus, GCF of Fractions is 2/6513022.Finally, GCF of Fractions for 6694/653, 6378/9974 is 2/6513022.