GCF of 6460/729, 2579/6954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6460/729, 2579/6954 i.e 1/1689822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6460/729, 2579/6954.
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 6460/729,2579/6954?
Given fractions are 6460/729,2579/6954
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 6460/729,2579/6954, numerators are 6460,2579
Denominators are 729,6954
The GCF of 6460,2579 is 1 .
LCM of 729,6954 is 1689822.
The greatest common factor of 6460/729,2579/6954 = [GCF of 6460,2579]/[LCM of 729,6954]= 1/1689822
Therefore, the GCF of 6460/729,2579/6954 is 1/1689822.
To find the highest common factor of 6460,2579, we have to find the factors of both numbers and list the highest common factor.
The factors of 6460 are 1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230, 6460
The factors of 2579 are 1, 2579
The HCF of 6460,2579 is 1.
Lets's calculate GCF of 6460,2579
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6460,2579 By Matching Biggest Common Factor Method
Now, list down the factors of 6460
:1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460
Now, list down the factors of 2579
:1,2579
Greatest Common Factor
We found the factors 6460,2579 . The biggest common factor number is the GCF number.
So the greatest common factor 6460,2579 is 1.
Lets's calculate LCM of 729,6954
| 3 | 729, 6954 |
| 243, 2318 |
∴ So the LCM of the given numbers is 3 x 243 x 2318 = 1689822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1689822
Therefore, the GCF of Fractions 6460/729,2579/6954 is 1/1689822
Least Common Multiple of 729,6954 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 729,6954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,6954) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,6954) x common factors =3 x 1 = 3
LCM(729,6954) = ( 729 × 6954 ) / 3
LCM(729,6954) = 5069466 / 3
LCM(729,6954) = 1689822
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FAQs on GCF of Fractions of 6460/729, 2579/6954
1. What is the HCF of 6460,2579?
The HCF of 6460,2579 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 6460/729, 2579/6954?
Answer: GCF of Numerators as per given numbers 6460/729, 2579/6954 is
GCF of Numerators i.e. for 6460,2579 is 1
LCM of denominators i.e. for 729,6954 is 1689822.
Thus, GCF of Fractions is 1/1689822.Finally, GCF of Fractions for 6460/729, 2579/6954 is 1/1689822.