GCF of 5439/632, 4230/5433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5439/632, 4230/5433 i.e 3/3433656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5439/632, 4230/5433.
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 5439/632,4230/5433?
Given fractions are 5439/632,4230/5433
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 5439/632,4230/5433, numerators are 5439,4230
Denominators are 632,5433
The GCF of 5439,4230 is 3 .
LCM of 632,5433 is 3433656.
The greatest common factor of 5439/632,4230/5433 = [GCF of 5439,4230]/[LCM of 632,5433]= 3/3433656
Therefore, the GCF of 5439/632,4230/5433 is 3/3433656.
To find the highest common factor of 5439,4230, we have to find the factors of both numbers and list the highest common factor.
The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439
The factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
The HCF of 5439,4230 is 3.
Lets's calculate GCF of 5439,4230
| 3 | 5439, 4230 |
| 1813, 1410 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5439,4230 By Matching Biggest Common Factor Method
Now, list down the factors of 5439
:1,3,7,21,37,49,111,147,259,777,1813,5439
Now, list down the factors of 4230
:1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Greatest Common Factor
We found the factors 5439,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,4230 is 3.
Lets's calculate LCM of 632,5433
Given numbers has no common factors except 1. So, there LCM is their product i.e 3433656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3433656
Therefore, the GCF of Fractions 5439/632,4230/5433 is 3/3433656
Least Common Multiple of 632,5433 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 632,5433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,5433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,5433) x common factors =1 x 1 = 1
LCM(632,5433) = ( 632 × 5433 ) / 1
LCM(632,5433) = 3433656 / 1
LCM(632,5433) = 3433656
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5439/632, 4230/5433
1. What is the HCF of 5439,4230?
The HCF of 5439,4230 is 3
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 5439/632, 4230/5433?
Answer: GCF of Numerators as per given numbers 5439/632, 4230/5433 is
GCF of Numerators i.e. for 5439,4230 is 3
LCM of denominators i.e. for 632,5433 is 3433656.
Thus, GCF of Fractions is 3/3433656.Finally, GCF of Fractions for 5439/632, 4230/5433 is 3/3433656.