GCF of 6397/430, 6643/6654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6397/430, 6643/6654 i.e 1/1430610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6397/430, 6643/6654.
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 6397/430,6643/6654?
Given fractions are 6397/430,6643/6654
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 6397/430,6643/6654, numerators are 6397,6643
Denominators are 430,6654
The GCF of 6397,6643 is 1 .
LCM of 430,6654 is 1430610.
The greatest common factor of 6397/430,6643/6654 = [GCF of 6397,6643]/[LCM of 430,6654]= 1/1430610
Therefore, the GCF of 6397/430,6643/6654 is 1/1430610.
To find the highest common factor of 6397,6643, we have to find the factors of both numbers and list the highest common factor.
The factors of 6397 are 1, 6397
The factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643
The HCF of 6397,6643 is 1.
Lets's calculate GCF of 6397,6643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6397,6643 By Matching Biggest Common Factor Method
Now, list down the factors of 6397
:1,6397
Now, list down the factors of 6643
:1,7,13,73,91,511,949,6643
Greatest Common Factor
We found the factors 6397,6643 . The biggest common factor number is the GCF number.
So the greatest common factor 6397,6643 is 1.
Lets's calculate LCM of 430,6654
| 2 | 430, 6654 |
| 215, 3327 |
∴ So the LCM of the given numbers is 2 x 215 x 3327 = 1430610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1430610
Therefore, the GCF of Fractions 6397/430,6643/6654 is 1/1430610
Least Common Multiple of 430,6654 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 430,6654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,6654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,6654) x common factors =2 x 1 = 2
LCM(430,6654) = ( 430 × 6654 ) / 2
LCM(430,6654) = 2861220 / 2
LCM(430,6654) = 1430610
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FAQs on GCF of Fractions of 6397/430, 6643/6654
1. What is the HCF of 6397,6643?
The HCF of 6397,6643 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 6397/430, 6643/6654?
Answer: GCF of Numerators as per given numbers 6397/430, 6643/6654 is
GCF of Numerators i.e. for 6397,6643 is 1
LCM of denominators i.e. for 430,6654 is 1430610.
Thus, GCF of Fractions is 1/1430610.Finally, GCF of Fractions for 6397/430, 6643/6654 is 1/1430610.