GCF of 3631/514, 8557/2018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3631/514, 8557/2018 i.e 1/518626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3631/514, 8557/2018.
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 3631/514,8557/2018?
Given fractions are 3631/514,8557/2018
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 3631/514,8557/2018, numerators are 3631,8557
Denominators are 514,2018
The GCF of 3631,8557 is 1 .
LCM of 514,2018 is 518626.
The greatest common factor of 3631/514,8557/2018 = [GCF of 3631,8557]/[LCM of 514,2018]= 1/518626
Therefore, the GCF of 3631/514,8557/2018 is 1/518626.
To find the highest common factor of 3631,8557, we have to find the factors of both numbers and list the highest common factor.
The factors of 3631 are 1, 3631
The factors of 8557 are 1, 43, 199, 8557
The HCF of 3631,8557 is 1.
Lets's calculate GCF of 3631,8557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3631,8557 By Matching Biggest Common Factor Method
Now, list down the factors of 3631
:1,3631
Now, list down the factors of 8557
:1,43,199,8557
Greatest Common Factor
We found the factors 3631,8557 . The biggest common factor number is the GCF number.
So the greatest common factor 3631,8557 is 1.
Lets's calculate LCM of 514,2018
| 2 | 514, 2018 |
| 257, 1009 |
∴ So the LCM of the given numbers is 2 x 257 x 1009 = 518626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518626
Therefore, the GCF of Fractions 3631/514,8557/2018 is 1/518626
Least Common Multiple of 514,2018 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 514,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,2018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,2018) x common factors =2 x 1 = 2
LCM(514,2018) = ( 514 × 2018 ) / 2
LCM(514,2018) = 1037252 / 2
LCM(514,2018) = 518626
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3631/514, 8557/2018
1. What is the HCF of 3631,8557?
The HCF of 3631,8557 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 3631/514, 8557/2018?
Answer: GCF of Numerators as per given numbers 3631/514, 8557/2018 is
GCF of Numerators i.e. for 3631,8557 is 1
LCM of denominators i.e. for 514,2018 is 518626.
Thus, GCF of Fractions is 1/518626.Finally, GCF of Fractions for 3631/514, 8557/2018 is 1/518626.