GCF of 5485/140, 3233/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5485/140, 3233/4206 i.e 1/294420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5485/140, 3233/4206.
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 5485/140,3233/4206?
Given fractions are 5485/140,3233/4206
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 5485/140,3233/4206, numerators are 5485,3233
Denominators are 140,4206
The GCF of 5485,3233 is 1 .
LCM of 140,4206 is 294420.
The greatest common factor of 5485/140,3233/4206 = [GCF of 5485,3233]/[LCM of 140,4206]= 1/294420
Therefore, the GCF of 5485/140,3233/4206 is 1/294420.
To find the highest common factor of 5485,3233, we have to find the factors of both numbers and list the highest common factor.
The factors of 5485 are 1, 5, 1097, 5485
The factors of 3233 are 1, 53, 61, 3233
The HCF of 5485,3233 is 1.
Lets's calculate GCF of 5485,3233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5485,3233 By Matching Biggest Common Factor Method
Now, list down the factors of 5485
:1,5,1097,5485
Now, list down the factors of 3233
:1,53,61,3233
Greatest Common Factor
We found the factors 5485,3233 . The biggest common factor number is the GCF number.
So the greatest common factor 5485,3233 is 1.
Lets's calculate LCM of 140,4206
| 2 | 140, 4206 |
| 70, 2103 |
∴ So the LCM of the given numbers is 2 x 70 x 2103 = 294420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294420
Therefore, the GCF of Fractions 5485/140,3233/4206 is 1/294420
Least Common Multiple of 140,4206 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 140,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,4206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,4206) x common factors =2 x 1 = 2
LCM(140,4206) = ( 140 × 4206 ) / 2
LCM(140,4206) = 588840 / 2
LCM(140,4206) = 294420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5485/140, 3233/4206
1. What is the HCF of 5485,3233?
The HCF of 5485,3233 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 5485/140, 3233/4206?
Answer: GCF of Numerators as per given numbers 5485/140, 3233/4206 is
GCF of Numerators i.e. for 5485,3233 is 1
LCM of denominators i.e. for 140,4206 is 294420.
Thus, GCF of Fractions is 1/294420.Finally, GCF of Fractions for 5485/140, 3233/4206 is 1/294420.