GCF of 4731/904, 8557/2010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4731/904, 8557/2010 i.e 1/908520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4731/904, 8557/2010.
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 4731/904,8557/2010?
Given fractions are 4731/904,8557/2010
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 4731/904,8557/2010, numerators are 4731,8557
Denominators are 904,2010
The GCF of 4731,8557 is 1 .
LCM of 904,2010 is 908520.
The greatest common factor of 4731/904,8557/2010 = [GCF of 4731,8557]/[LCM of 904,2010]= 1/908520
Therefore, the GCF of 4731/904,8557/2010 is 1/908520.
To find the highest common factor of 4731,8557, we have to find the factors of both numbers and list the highest common factor.
The factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731
The factors of 8557 are 1, 43, 199, 8557
The HCF of 4731,8557 is 1.
Lets's calculate GCF of 4731,8557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4731,8557 By Matching Biggest Common Factor Method
Now, list down the factors of 4731
:1,3,19,57,83,249,1577,4731
Now, list down the factors of 8557
:1,43,199,8557
Greatest Common Factor
We found the factors 4731,8557 . The biggest common factor number is the GCF number.
So the greatest common factor 4731,8557 is 1.
Lets's calculate LCM of 904,2010
| 2 | 904, 2010 |
| 452, 1005 |
∴ So the LCM of the given numbers is 2 x 452 x 1005 = 908520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/908520
Therefore, the GCF of Fractions 4731/904,8557/2010 is 1/908520
Least Common Multiple of 904,2010 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 904,2010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,2010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(904,2010) x common factors =2 x 1 = 2
LCM(904,2010) = ( 904 × 2010 ) / 2
LCM(904,2010) = 1817040 / 2
LCM(904,2010) = 908520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4731/904, 8557/2010
1. What is the HCF of 4731,8557?
The HCF of 4731,8557 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 4731/904, 8557/2010?
Answer: GCF of Numerators as per given numbers 4731/904, 8557/2010 is
GCF of Numerators i.e. for 4731,8557 is 1
LCM of denominators i.e. for 904,2010 is 908520.
Thus, GCF of Fractions is 1/908520.Finally, GCF of Fractions for 4731/904, 8557/2010 is 1/908520.