GCF of 1255/825, 4519/6515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1255/825, 4519/6515 i.e 1/1074975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1255/825, 4519/6515.
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 1255/825,4519/6515?
Given fractions are 1255/825,4519/6515
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 1255/825,4519/6515, numerators are 1255,4519
Denominators are 825,6515
The GCF of 1255,4519 is 1 .
LCM of 825,6515 is 1074975.
The greatest common factor of 1255/825,4519/6515 = [GCF of 1255,4519]/[LCM of 825,6515]= 1/1074975
Therefore, the GCF of 1255/825,4519/6515 is 1/1074975.
To find the highest common factor of 1255,4519, we have to find the factors of both numbers and list the highest common factor.
The factors of 1255 are 1, 5, 251, 1255
The factors of 4519 are 1, 4519
The HCF of 1255,4519 is 1.
Lets's calculate GCF of 1255,4519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1255,4519 By Matching Biggest Common Factor Method
Now, list down the factors of 1255
:1,5,251,1255
Now, list down the factors of 4519
:1,4519
Greatest Common Factor
We found the factors 1255,4519 . The biggest common factor number is the GCF number.
So the greatest common factor 1255,4519 is 1.
Lets's calculate LCM of 825,6515
| 5 | 825, 6515 |
| 165, 1303 |
∴ So the LCM of the given numbers is 5 x 165 x 1303 = 1074975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1074975
Therefore, the GCF of Fractions 1255/825,4519/6515 is 1/1074975
Least Common Multiple of 825,6515 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 825,6515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,6515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(825,6515) x common factors =5 x 1 = 5
LCM(825,6515) = ( 825 × 6515 ) / 5
LCM(825,6515) = 5374875 / 5
LCM(825,6515) = 1074975
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FAQs on GCF of Fractions of 1255/825, 4519/6515
1. What is the HCF of 1255,4519?
The HCF of 1255,4519 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 1255/825, 4519/6515?
Answer: GCF of Numerators as per given numbers 1255/825, 4519/6515 is
GCF of Numerators i.e. for 1255,4519 is 1
LCM of denominators i.e. for 825,6515 is 1074975.
Thus, GCF of Fractions is 1/1074975.Finally, GCF of Fractions for 1255/825, 4519/6515 is 1/1074975.