GCF of 4774/826, 6538/6466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4774/826, 6538/6466 i.e 14/2670458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4774/826, 6538/6466.
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 4774/826,6538/6466?
Given fractions are 4774/826,6538/6466
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 4774/826,6538/6466, numerators are 4774,6538
Denominators are 826,6466
The GCF of 4774,6538 is 14 .
LCM of 826,6466 is 2670458.
The greatest common factor of 4774/826,6538/6466 = [GCF of 4774,6538]/[LCM of 826,6466]= 14/2670458
Therefore, the GCF of 4774/826,6538/6466 is 14/2670458.
To find the highest common factor of 4774,6538, we have to find the factors of both numbers and list the highest common factor.
The factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774
The factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538
The HCF of 4774,6538 is 14.
Lets's calculate GCF of 4774,6538
| 2 | 4774, 6538 |
| 7 | 2387, 3269 |
| 341, 467 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4774,6538 By Matching Biggest Common Factor Method
Now, list down the factors of 4774
:1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774
Now, list down the factors of 6538
:1,2,7,14,467,934,3269,6538
Greatest Common Factor
We found the factors 4774,6538 . The biggest common factor number is the GCF number.
So the greatest common factor 4774,6538 is 14.
Lets's calculate LCM of 826,6466
| 2 | 826, 6466 |
| 413, 3233 |
∴ So the LCM of the given numbers is 2 x 413 x 3233 = 2670458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2670458
Therefore, the GCF of Fractions 4774/826,6538/6466 is 14/2670458
Least Common Multiple of 826,6466 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 826,6466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,6466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,6466) x common factors =2 x 1 = 2
LCM(826,6466) = ( 826 × 6466 ) / 2
LCM(826,6466) = 5340916 / 2
LCM(826,6466) = 2670458
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FAQs on GCF of Fractions of 4774/826, 6538/6466
1. What is the HCF of 4774,6538?
The HCF of 4774,6538 is 14
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 4774/826, 6538/6466?
Answer: GCF of Numerators as per given numbers 4774/826, 6538/6466 is
GCF of Numerators i.e. for 4774,6538 is 14
LCM of denominators i.e. for 826,6466 is 2670458.
Thus, GCF of Fractions is 14/2670458.Finally, GCF of Fractions for 4774/826, 6538/6466 is 14/2670458.