GCF of 5074/513, 6649/801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5074/513, 6649/801 i.e 1/45657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5074/513, 6649/801.
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 5074/513,6649/801?
Given fractions are 5074/513,6649/801
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 5074/513,6649/801, numerators are 5074,6649
Denominators are 513,801
The GCF of 5074,6649 is 1 .
LCM of 513,801 is 45657.
The greatest common factor of 5074/513,6649/801 = [GCF of 5074,6649]/[LCM of 513,801]= 1/45657
Therefore, the GCF of 5074/513,6649/801 is 1/45657.
To find the highest common factor of 5074,6649, we have to find the factors of both numbers and list the highest common factor.
The factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074
The factors of 6649 are 1, 61, 109, 6649
The HCF of 5074,6649 is 1.
Lets's calculate GCF of 5074,6649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5074,6649 By Matching Biggest Common Factor Method
Now, list down the factors of 5074
:1,2,43,59,86,118,2537,5074
Now, list down the factors of 6649
:1,61,109,6649
Greatest Common Factor
We found the factors 5074,6649 . The biggest common factor number is the GCF number.
So the greatest common factor 5074,6649 is 1.
Lets's calculate LCM of 513,801
| 3 | 513, 801 |
| 3 | 171, 267 |
| 57, 89 |
∴ So the LCM of the given numbers is 3 x 3 x 57 x 89 = 45657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45657
Therefore, the GCF of Fractions 5074/513,6649/801 is 1/45657
Least Common Multiple of 513,801 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 513,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,801) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(513,801) x common factors =9 x 1 = 9
LCM(513,801) = ( 513 × 801 ) / 9
LCM(513,801) = 410913 / 9
LCM(513,801) = 45657
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FAQs on GCF of Fractions of 5074/513, 6649/801
1. What is the HCF of 5074,6649?
The HCF of 5074,6649 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 5074/513, 6649/801?
Answer: GCF of Numerators as per given numbers 5074/513, 6649/801 is
GCF of Numerators i.e. for 5074,6649 is 1
LCM of denominators i.e. for 513,801 is 45657.
Thus, GCF of Fractions is 1/45657.Finally, GCF of Fractions for 5074/513, 6649/801 is 1/45657.