GCF of 1014/825, 3871/8290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1014/825, 3871/8290 i.e 1/1367850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1014/825, 3871/8290.
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 1014/825,3871/8290?
Given fractions are 1014/825,3871/8290
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 1014/825,3871/8290, numerators are 1014,3871
Denominators are 825,8290
The GCF of 1014,3871 is 1 .
LCM of 825,8290 is 1367850.
The greatest common factor of 1014/825,3871/8290 = [GCF of 1014,3871]/[LCM of 825,8290]= 1/1367850
Therefore, the GCF of 1014/825,3871/8290 is 1/1367850.
To find the highest common factor of 1014,3871, we have to find the factors of both numbers and list the highest common factor.
The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
The factors of 3871 are 1, 7, 49, 79, 553, 3871
The HCF of 1014,3871 is 1.
Lets's calculate GCF of 1014,3871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1014,3871 By Matching Biggest Common Factor Method
Now, list down the factors of 1014
:1,2,3,6,13,26,39,78,169,338,507,1014
Now, list down the factors of 3871
:1,7,49,79,553,3871
Greatest Common Factor
We found the factors 1014,3871 . The biggest common factor number is the GCF number.
So the greatest common factor 1014,3871 is 1.
Lets's calculate LCM of 825,8290
| 5 | 825, 8290 |
| 165, 1658 |
∴ So the LCM of the given numbers is 5 x 165 x 1658 = 1367850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1367850
Therefore, the GCF of Fractions 1014/825,3871/8290 is 1/1367850
Least Common Multiple of 825,8290 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 825,8290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,8290) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(825,8290) x common factors =5 x 1 = 5
LCM(825,8290) = ( 825 × 8290 ) / 5
LCM(825,8290) = 6839250 / 5
LCM(825,8290) = 1367850
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1014/825, 3871/8290
1. What is the HCF of 1014,3871?
The HCF of 1014,3871 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 1014/825, 3871/8290?
Answer: GCF of Numerators as per given numbers 1014/825, 3871/8290 is
GCF of Numerators i.e. for 1014,3871 is 1
LCM of denominators i.e. for 825,8290 is 1367850.
Thus, GCF of Fractions is 1/1367850.Finally, GCF of Fractions for 1014/825, 3871/8290 is 1/1367850.