GCF of 4731/840, 9185/8585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4731/840, 9185/8585 i.e 1/1442280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4731/840, 9185/8585.
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 4731/840,9185/8585?
Given fractions are 4731/840,9185/8585
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 4731/840,9185/8585, numerators are 4731,9185
Denominators are 840,8585
The GCF of 4731,9185 is 1 .
LCM of 840,8585 is 1442280.
The greatest common factor of 4731/840,9185/8585 = [GCF of 4731,9185]/[LCM of 840,8585]= 1/1442280
Therefore, the GCF of 4731/840,9185/8585 is 1/1442280.
To find the highest common factor of 4731,9185, 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 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185
The HCF of 4731,9185 is 1.
Lets's calculate GCF of 4731,9185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4731,9185 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 9185
:1,5,11,55,167,835,1837,9185
Greatest Common Factor
We found the factors 4731,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 4731,9185 is 1.
Lets's calculate LCM of 840,8585
| 5 | 840, 8585 |
| 168, 1717 |
∴ So the LCM of the given numbers is 5 x 168 x 1717 = 1442280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1442280
Therefore, the GCF of Fractions 4731/840,9185/8585 is 1/1442280
Least Common Multiple of 840,8585 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 840,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,8585) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(840,8585) x common factors =5 x 1 = 5
LCM(840,8585) = ( 840 × 8585 ) / 5
LCM(840,8585) = 7211400 / 5
LCM(840,8585) = 1442280
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4731/840, 9185/8585
1. What is the HCF of 4731,9185?
The HCF of 4731,9185 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 4731/840, 9185/8585?
Answer: GCF of Numerators as per given numbers 4731/840, 9185/8585 is
GCF of Numerators i.e. for 4731,9185 is 1
LCM of denominators i.e. for 840,8585 is 1442280.
Thus, GCF of Fractions is 1/1442280.Finally, GCF of Fractions for 4731/840, 9185/8585 is 1/1442280.