GCF of 4012/234, 6378/5790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4012/234, 6378/5790 i.e 2/225810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4012/234, 6378/5790.
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 4012/234,6378/5790?
Given fractions are 4012/234,6378/5790
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 4012/234,6378/5790, numerators are 4012,6378
Denominators are 234,5790
The GCF of 4012,6378 is 2 .
LCM of 234,5790 is 225810.
The greatest common factor of 4012/234,6378/5790 = [GCF of 4012,6378]/[LCM of 234,5790]= 2/225810
Therefore, the GCF of 4012/234,6378/5790 is 2/225810.
To find the highest common factor of 4012,6378, we have to find the factors of both numbers and list the highest common factor.
The factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012
The factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378
The HCF of 4012,6378 is 2.
Lets's calculate GCF of 4012,6378
| 2 | 4012, 6378 |
| 2006, 3189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4012,6378 By Matching Biggest Common Factor Method
Now, list down the factors of 4012
:1,2,4,17,34,59,68,118,236,1003,2006,4012
Now, list down the factors of 6378
:1,2,3,6,1063,2126,3189,6378
Greatest Common Factor
We found the factors 4012,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 4012,6378 is 2.
Lets's calculate LCM of 234,5790
| 2 | 234, 5790 |
| 3 | 117, 2895 |
| 39, 965 |
∴ So the LCM of the given numbers is 2 x 3 x 39 x 965 = 225810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/225810
Therefore, the GCF of Fractions 4012/234,6378/5790 is 2/225810
Least Common Multiple of 234,5790 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 234,5790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,5790) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(234,5790) x common factors =6 x 1 = 6
LCM(234,5790) = ( 234 × 5790 ) / 6
LCM(234,5790) = 1354860 / 6
LCM(234,5790) = 225810
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FAQs on GCF of Fractions of 4012/234, 6378/5790
1. What is the HCF of 4012,6378?
The HCF of 4012,6378 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 4012/234, 6378/5790?
Answer: GCF of Numerators as per given numbers 4012/234, 6378/5790 is
GCF of Numerators i.e. for 4012,6378 is 2
LCM of denominators i.e. for 234,5790 is 225810.
Thus, GCF of Fractions is 2/225810.Finally, GCF of Fractions for 4012/234, 6378/5790 is 2/225810.