GCF of 6549/610, 7365/6928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6549/610, 7365/6928 i.e 3/2113040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6549/610, 7365/6928.
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 6549/610,7365/6928?
Given fractions are 6549/610,7365/6928
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 6549/610,7365/6928, numerators are 6549,7365
Denominators are 610,6928
The GCF of 6549,7365 is 3 .
LCM of 610,6928 is 2113040.
The greatest common factor of 6549/610,7365/6928 = [GCF of 6549,7365]/[LCM of 610,6928]= 3/2113040
Therefore, the GCF of 6549/610,7365/6928 is 3/2113040.
To find the highest common factor of 6549,7365, we have to find the factors of both numbers and list the highest common factor.
The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549
The factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365
The HCF of 6549,7365 is 3.
Lets's calculate GCF of 6549,7365
| 3 | 6549, 7365 |
| 2183, 2455 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6549,7365 By Matching Biggest Common Factor Method
Now, list down the factors of 6549
:1,3,37,59,111,177,2183,6549
Now, list down the factors of 7365
:1,3,5,15,491,1473,2455,7365
Greatest Common Factor
We found the factors 6549,7365 . The biggest common factor number is the GCF number.
So the greatest common factor 6549,7365 is 3.
Lets's calculate LCM of 610,6928
| 2 | 610, 6928 |
| 305, 3464 |
∴ So the LCM of the given numbers is 2 x 305 x 3464 = 2113040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2113040
Therefore, the GCF of Fractions 6549/610,7365/6928 is 3/2113040
Least Common Multiple of 610,6928 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 610,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,6928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,6928) x common factors =2 x 1 = 2
LCM(610,6928) = ( 610 × 6928 ) / 2
LCM(610,6928) = 4226080 / 2
LCM(610,6928) = 2113040
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FAQs on GCF of Fractions of 6549/610, 7365/6928
1. What is the HCF of 6549,7365?
The HCF of 6549,7365 is 3
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 6549/610, 7365/6928?
Answer: GCF of Numerators as per given numbers 6549/610, 7365/6928 is
GCF of Numerators i.e. for 6549,7365 is 3
LCM of denominators i.e. for 610,6928 is 2113040.
Thus, GCF of Fractions is 3/2113040.Finally, GCF of Fractions for 6549/610, 7365/6928 is 3/2113040.