GCF of 2257/575, 6527/2791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2257/575, 6527/2791 i.e 61/1604825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2257/575, 6527/2791.
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 2257/575,6527/2791?
Given fractions are 2257/575,6527/2791
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 2257/575,6527/2791, numerators are 2257,6527
Denominators are 575,2791
The GCF of 2257,6527 is 61 .
LCM of 575,2791 is 1604825.
The greatest common factor of 2257/575,6527/2791 = [GCF of 2257,6527]/[LCM of 575,2791]= 61/1604825
Therefore, the GCF of 2257/575,6527/2791 is 61/1604825.
To find the highest common factor of 2257,6527, we have to find the factors of both numbers and list the highest common factor.
The factors of 2257 are 1, 37, 61, 2257
The factors of 6527 are 1, 61, 107, 6527
The HCF of 2257,6527 is 61.
Lets's calculate GCF of 2257,6527
| 61 | 2257, 6527 |
| 37, 107 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 2257,6527 By Matching Biggest Common Factor Method
Now, list down the factors of 2257
:1,37,61,2257
Now, list down the factors of 6527
:1,61,107,6527
Greatest Common Factor
We found the factors 2257,6527 . The biggest common factor number is the GCF number.
So the greatest common factor 2257,6527 is 61.
Lets's calculate LCM of 575,2791
Given numbers has no common factors except 1. So, there LCM is their product i.e 1604825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/1604825
Therefore, the GCF of Fractions 2257/575,6527/2791 is 61/1604825
Least Common Multiple of 575,2791 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 575,2791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,2791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,2791) x common factors =1 x 1 = 1
LCM(575,2791) = ( 575 × 2791 ) / 1
LCM(575,2791) = 1604825 / 1
LCM(575,2791) = 1604825
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FAQs on GCF of Fractions of 2257/575, 6527/2791
1. What is the HCF of 2257,6527?
The HCF of 2257,6527 is 61
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 2257/575, 6527/2791?
Answer: GCF of Numerators as per given numbers 2257/575, 6527/2791 is
GCF of Numerators i.e. for 2257,6527 is 61
LCM of denominators i.e. for 575,2791 is 1604825.
Thus, GCF of Fractions is 61/1604825.Finally, GCF of Fractions for 2257/575, 6527/2791 is 61/1604825.