GCF of 8275/107, 2463/8554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8275/107, 2463/8554 i.e 1/915278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8275/107, 2463/8554.
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 8275/107,2463/8554?
Given fractions are 8275/107,2463/8554
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 8275/107,2463/8554, numerators are 8275,2463
Denominators are 107,8554
The GCF of 8275,2463 is 1 .
LCM of 107,8554 is 915278.
The greatest common factor of 8275/107,2463/8554 = [GCF of 8275,2463]/[LCM of 107,8554]= 1/915278
Therefore, the GCF of 8275/107,2463/8554 is 1/915278.
To find the highest common factor of 8275,2463, we have to find the factors of both numbers and list the highest common factor.
The factors of 8275 are 1, 5, 25, 331, 1655, 8275
The factors of 2463 are 1, 3, 821, 2463
The HCF of 8275,2463 is 1.
Lets's calculate GCF of 8275,2463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8275,2463 By Matching Biggest Common Factor Method
Now, list down the factors of 8275
:1,5,25,331,1655,8275
Now, list down the factors of 2463
:1,3,821,2463
Greatest Common Factor
We found the factors 8275,2463 . The biggest common factor number is the GCF number.
So the greatest common factor 8275,2463 is 1.
Lets's calculate LCM of 107,8554
Given numbers has no common factors except 1. So, there LCM is their product i.e 915278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/915278
Therefore, the GCF of Fractions 8275/107,2463/8554 is 1/915278
Least Common Multiple of 107,8554 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 107,8554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,8554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,8554) x common factors =1 x 1 = 1
LCM(107,8554) = ( 107 × 8554 ) / 1
LCM(107,8554) = 915278 / 1
LCM(107,8554) = 915278
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8275/107, 2463/8554
1. What is the HCF of 8275,2463?
The HCF of 8275,2463 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 8275/107, 2463/8554?
Answer: GCF of Numerators as per given numbers 8275/107, 2463/8554 is
GCF of Numerators i.e. for 8275,2463 is 1
LCM of denominators i.e. for 107,8554 is 915278.
Thus, GCF of Fractions is 1/915278.Finally, GCF of Fractions for 8275/107, 2463/8554 is 1/915278.