GCF of 6739/202, 2438/6906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6739/202, 2438/6906 i.e 23/697506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6739/202, 2438/6906.
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 6739/202,2438/6906?
Given fractions are 6739/202,2438/6906
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 6739/202,2438/6906, numerators are 6739,2438
Denominators are 202,6906
The GCF of 6739,2438 is 23 .
LCM of 202,6906 is 697506.
The greatest common factor of 6739/202,2438/6906 = [GCF of 6739,2438]/[LCM of 202,6906]= 23/697506
Therefore, the GCF of 6739/202,2438/6906 is 23/697506.
To find the highest common factor of 6739,2438, we have to find the factors of both numbers and list the highest common factor.
The factors of 6739 are 1, 23, 293, 6739
The factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438
The HCF of 6739,2438 is 23.
Lets's calculate GCF of 6739,2438
| 23 | 6739, 2438 |
| 293, 106 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 6739,2438 By Matching Biggest Common Factor Method
Now, list down the factors of 6739
:1,23,293,6739
Now, list down the factors of 2438
:1,2,23,46,53,106,1219,2438
Greatest Common Factor
We found the factors 6739,2438 . The biggest common factor number is the GCF number.
So the greatest common factor 6739,2438 is 23.
Lets's calculate LCM of 202,6906
| 2 | 202, 6906 |
| 101, 3453 |
∴ So the LCM of the given numbers is 2 x 101 x 3453 = 697506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/697506
Therefore, the GCF of Fractions 6739/202,2438/6906 is 23/697506
Least Common Multiple of 202,6906 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 202,6906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,6906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,6906) x common factors =2 x 1 = 2
LCM(202,6906) = ( 202 × 6906 ) / 2
LCM(202,6906) = 1395012 / 2
LCM(202,6906) = 697506
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FAQs on GCF of Fractions of 6739/202, 2438/6906
1. What is the HCF of 6739,2438?
The HCF of 6739,2438 is 23
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 6739/202, 2438/6906?
Answer: GCF of Numerators as per given numbers 6739/202, 2438/6906 is
GCF of Numerators i.e. for 6739,2438 is 23
LCM of denominators i.e. for 202,6906 is 697506.
Thus, GCF of Fractions is 23/697506.Finally, GCF of Fractions for 6739/202, 2438/6906 is 23/697506.