GCF of 6544/365, 5194/7457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6544/365, 5194/7457 i.e 2/2721805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6544/365, 5194/7457.
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 6544/365,5194/7457?
Given fractions are 6544/365,5194/7457
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 6544/365,5194/7457, numerators are 6544,5194
Denominators are 365,7457
The GCF of 6544,5194 is 2 .
LCM of 365,7457 is 2721805.
The greatest common factor of 6544/365,5194/7457 = [GCF of 6544,5194]/[LCM of 365,7457]= 2/2721805
Therefore, the GCF of 6544/365,5194/7457 is 2/2721805.
To find the highest common factor of 6544,5194, we have to find the factors of both numbers and list the highest common factor.
The factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544
The factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194
The HCF of 6544,5194 is 2.
Lets's calculate GCF of 6544,5194
| 2 | 6544, 5194 |
| 3272, 2597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6544,5194 By Matching Biggest Common Factor Method
Now, list down the factors of 6544
:1,2,4,8,16,409,818,1636,3272,6544
Now, list down the factors of 5194
:1,2,7,14,49,53,98,106,371,742,2597,5194
Greatest Common Factor
We found the factors 6544,5194 . The biggest common factor number is the GCF number.
So the greatest common factor 6544,5194 is 2.
Lets's calculate LCM of 365,7457
Given numbers has no common factors except 1. So, there LCM is their product i.e 2721805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2721805
Therefore, the GCF of Fractions 6544/365,5194/7457 is 2/2721805
Least Common Multiple of 365,7457 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 365,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,7457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,7457) x common factors =1 x 1 = 1
LCM(365,7457) = ( 365 × 7457 ) / 1
LCM(365,7457) = 2721805 / 1
LCM(365,7457) = 2721805
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FAQs on GCF of Fractions of 6544/365, 5194/7457
1. What is the HCF of 6544,5194?
The HCF of 6544,5194 is 2
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 6544/365, 5194/7457?
Answer: GCF of Numerators as per given numbers 6544/365, 5194/7457 is
GCF of Numerators i.e. for 6544,5194 is 2
LCM of denominators i.e. for 365,7457 is 2721805.
Thus, GCF of Fractions is 2/2721805.Finally, GCF of Fractions for 6544/365, 5194/7457 is 2/2721805.