GCF of 7831/562, 4052/5898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7831/562, 4052/5898 i.e 1/1657338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7831/562, 4052/5898.
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 7831/562,4052/5898?
Given fractions are 7831/562,4052/5898
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 7831/562,4052/5898, numerators are 7831,4052
Denominators are 562,5898
The GCF of 7831,4052 is 1 .
LCM of 562,5898 is 1657338.
The greatest common factor of 7831/562,4052/5898 = [GCF of 7831,4052]/[LCM of 562,5898]= 1/1657338
Therefore, the GCF of 7831/562,4052/5898 is 1/1657338.
To find the highest common factor of 7831,4052, we have to find the factors of both numbers and list the highest common factor.
The factors of 7831 are 1, 41, 191, 7831
The factors of 4052 are 1, 2, 4, 1013, 2026, 4052
The HCF of 7831,4052 is 1.
Lets's calculate GCF of 7831,4052
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7831,4052 By Matching Biggest Common Factor Method
Now, list down the factors of 7831
:1,41,191,7831
Now, list down the factors of 4052
:1,2,4,1013,2026,4052
Greatest Common Factor
We found the factors 7831,4052 . The biggest common factor number is the GCF number.
So the greatest common factor 7831,4052 is 1.
Lets's calculate LCM of 562,5898
| 2 | 562, 5898 |
| 281, 2949 |
∴ So the LCM of the given numbers is 2 x 281 x 2949 = 1657338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1657338
Therefore, the GCF of Fractions 7831/562,4052/5898 is 1/1657338
Least Common Multiple of 562,5898 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 562,5898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,5898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,5898) x common factors =2 x 1 = 2
LCM(562,5898) = ( 562 × 5898 ) / 2
LCM(562,5898) = 3314676 / 2
LCM(562,5898) = 1657338
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7831/562, 4052/5898
1. What is the HCF of 7831,4052?
The HCF of 7831,4052 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 7831/562, 4052/5898?
Answer: GCF of Numerators as per given numbers 7831/562, 4052/5898 is
GCF of Numerators i.e. for 7831,4052 is 1
LCM of denominators i.e. for 562,5898 is 1657338.
Thus, GCF of Fractions is 1/1657338.Finally, GCF of Fractions for 7831/562, 4052/5898 is 1/1657338.