GCF of 4388/234, 5854/3419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4388/234, 5854/3419 i.e 2/61542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4388/234, 5854/3419.
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 4388/234,5854/3419?
Given fractions are 4388/234,5854/3419
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 4388/234,5854/3419, numerators are 4388,5854
Denominators are 234,3419
The GCF of 4388,5854 is 2 .
LCM of 234,3419 is 61542.
The greatest common factor of 4388/234,5854/3419 = [GCF of 4388,5854]/[LCM of 234,3419]= 2/61542
Therefore, the GCF of 4388/234,5854/3419 is 2/61542.
To find the highest common factor of 4388,5854, we have to find the factors of both numbers and list the highest common factor.
The factors of 4388 are 1, 2, 4, 1097, 2194, 4388
The factors of 5854 are 1, 2, 2927, 5854
The HCF of 4388,5854 is 2.
Lets's calculate GCF of 4388,5854
| 2 | 4388, 5854 |
| 2194, 2927 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4388,5854 By Matching Biggest Common Factor Method
Now, list down the factors of 4388
:1,2,4,1097,2194,4388
Now, list down the factors of 5854
:1,2,2927,5854
Greatest Common Factor
We found the factors 4388,5854 . The biggest common factor number is the GCF number.
So the greatest common factor 4388,5854 is 2.
Lets's calculate LCM of 234,3419
| 13 | 234, 3419 |
| 18, 263 |
∴ So the LCM of the given numbers is 13 x 18 x 263 = 61542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61542
Therefore, the GCF of Fractions 4388/234,5854/3419 is 2/61542
Least Common Multiple of 234,3419 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 234,3419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,3419) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(234,3419) x common factors =13 x 1 = 13
LCM(234,3419) = ( 234 × 3419 ) / 13
LCM(234,3419) = 800046 / 13
LCM(234,3419) = 61542
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4388/234, 5854/3419
1. What is the HCF of 4388,5854?
The HCF of 4388,5854 is 2
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 4388/234, 5854/3419?
Answer: GCF of Numerators as per given numbers 4388/234, 5854/3419 is
GCF of Numerators i.e. for 4388,5854 is 2
LCM of denominators i.e. for 234,3419 is 61542.
Thus, GCF of Fractions is 2/61542.Finally, GCF of Fractions for 4388/234, 5854/3419 is 2/61542.