GCF of 6648/213, 7691/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6648/213, 7691/606 i.e 1/43026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6648/213, 7691/606.
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 6648/213,7691/606?
Given fractions are 6648/213,7691/606
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 6648/213,7691/606, numerators are 6648,7691
Denominators are 213,606
The GCF of 6648,7691 is 1 .
LCM of 213,606 is 43026.
The greatest common factor of 6648/213,7691/606 = [GCF of 6648,7691]/[LCM of 213,606]= 1/43026
Therefore, the GCF of 6648/213,7691/606 is 1/43026.
To find the highest common factor of 6648,7691, we have to find the factors of both numbers and list the highest common factor.
The factors of 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648
The factors of 7691 are 1, 7691
The HCF of 6648,7691 is 1.
Lets's calculate GCF of 6648,7691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6648,7691 By Matching Biggest Common Factor Method
Now, list down the factors of 6648
:1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648
Now, list down the factors of 7691
:1,7691
Greatest Common Factor
We found the factors 6648,7691 . The biggest common factor number is the GCF number.
So the greatest common factor 6648,7691 is 1.
Lets's calculate LCM of 213,606
| 3 | 213, 606 |
| 71, 202 |
∴ So the LCM of the given numbers is 3 x 71 x 202 = 43026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43026
Therefore, the GCF of Fractions 6648/213,7691/606 is 1/43026
Least Common Multiple of 213,606 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 213,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,606) x common factors =3 x 1 = 3
LCM(213,606) = ( 213 × 606 ) / 3
LCM(213,606) = 129078 / 3
LCM(213,606) = 43026
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FAQs on GCF of Fractions of 6648/213, 7691/606
1. What is the HCF of 6648,7691?
The HCF of 6648,7691 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 6648/213, 7691/606?
Answer: GCF of Numerators as per given numbers 6648/213, 7691/606 is
GCF of Numerators i.e. for 6648,7691 is 1
LCM of denominators i.e. for 213,606 is 43026.
Thus, GCF of Fractions is 1/43026.Finally, GCF of Fractions for 6648/213, 7691/606 is 1/43026.