GCF of 4062/802, 8251/2576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4062/802, 8251/2576 i.e 1/1032976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4062/802, 8251/2576.
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 4062/802,8251/2576?
Given fractions are 4062/802,8251/2576
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 4062/802,8251/2576, numerators are 4062,8251
Denominators are 802,2576
The GCF of 4062,8251 is 1 .
LCM of 802,2576 is 1032976.
The greatest common factor of 4062/802,8251/2576 = [GCF of 4062,8251]/[LCM of 802,2576]= 1/1032976
Therefore, the GCF of 4062/802,8251/2576 is 1/1032976.
To find the highest common factor of 4062,8251, we have to find the factors of both numbers and list the highest common factor.
The factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062
The factors of 8251 are 1, 37, 223, 8251
The HCF of 4062,8251 is 1.
Lets's calculate GCF of 4062,8251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4062,8251 By Matching Biggest Common Factor Method
Now, list down the factors of 4062
:1,2,3,6,677,1354,2031,4062
Now, list down the factors of 8251
:1,37,223,8251
Greatest Common Factor
We found the factors 4062,8251 . The biggest common factor number is the GCF number.
So the greatest common factor 4062,8251 is 1.
Lets's calculate LCM of 802,2576
| 2 | 802, 2576 |
| 401, 1288 |
∴ So the LCM of the given numbers is 2 x 401 x 1288 = 1032976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1032976
Therefore, the GCF of Fractions 4062/802,8251/2576 is 1/1032976
Least Common Multiple of 802,2576 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 802,2576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,2576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,2576) x common factors =2 x 1 = 2
LCM(802,2576) = ( 802 × 2576 ) / 2
LCM(802,2576) = 2065952 / 2
LCM(802,2576) = 1032976
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4062/802, 8251/2576
1. What is the HCF of 4062,8251?
The HCF of 4062,8251 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 4062/802, 8251/2576?
Answer: GCF of Numerators as per given numbers 4062/802, 8251/2576 is
GCF of Numerators i.e. for 4062,8251 is 1
LCM of denominators i.e. for 802,2576 is 1032976.
Thus, GCF of Fractions is 1/1032976.Finally, GCF of Fractions for 4062/802, 8251/2576 is 1/1032976.