GCF of 4386/342, 2424/6034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4386/342, 2424/6034 i.e 6/1031814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4386/342, 2424/6034.
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 4386/342,2424/6034?
Given fractions are 4386/342,2424/6034
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 4386/342,2424/6034, numerators are 4386,2424
Denominators are 342,6034
The GCF of 4386,2424 is 6 .
LCM of 342,6034 is 1031814.
The greatest common factor of 4386/342,2424/6034 = [GCF of 4386,2424]/[LCM of 342,6034]= 6/1031814
Therefore, the GCF of 4386/342,2424/6034 is 6/1031814.
To find the highest common factor of 4386,2424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424
The HCF of 4386,2424 is 6.
Lets's calculate GCF of 4386,2424
| 2 | 4386, 2424 |
| 3 | 2193, 1212 |
| 731, 404 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4386,2424 By Matching Biggest Common Factor Method
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Now, list down the factors of 2424
:1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424
Greatest Common Factor
We found the factors 4386,2424 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,2424 is 6.
Lets's calculate LCM of 342,6034
| 2 | 342, 6034 |
| 171, 3017 |
∴ So the LCM of the given numbers is 2 x 171 x 3017 = 1031814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1031814
Therefore, the GCF of Fractions 4386/342,2424/6034 is 6/1031814
Least Common Multiple of 342,6034 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 342,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,6034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,6034) x common factors =2 x 1 = 2
LCM(342,6034) = ( 342 × 6034 ) / 2
LCM(342,6034) = 2063628 / 2
LCM(342,6034) = 1031814
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4386/342, 2424/6034
1. What is the HCF of 4386,2424?
The HCF of 4386,2424 is 6
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 4386/342, 2424/6034?
Answer: GCF of Numerators as per given numbers 4386/342, 2424/6034 is
GCF of Numerators i.e. for 4386,2424 is 6
LCM of denominators i.e. for 342,6034 is 1031814.
Thus, GCF of Fractions is 6/1031814.Finally, GCF of Fractions for 4386/342, 2424/6034 is 6/1031814.