GCF of 4029/434, 2112/372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4029/434, 2112/372 i.e 3/2604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4029/434, 2112/372.
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 4029/434,2112/372?
Given fractions are 4029/434,2112/372
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 4029/434,2112/372, numerators are 4029,2112
Denominators are 434,372
The GCF of 4029,2112 is 3 .
LCM of 434,372 is 2604.
The greatest common factor of 4029/434,2112/372 = [GCF of 4029,2112]/[LCM of 434,372]= 3/2604
Therefore, the GCF of 4029/434,2112/372 is 3/2604.
To find the highest common factor of 4029,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The HCF of 4029,2112 is 3.
Lets's calculate GCF of 4029,2112
| 3 | 4029, 2112 |
| 1343, 704 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4029,2112 By Matching Biggest Common Factor Method
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Greatest Common Factor
We found the factors 4029,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 4029,2112 is 3.
Lets's calculate LCM of 434,372
| 2 | 434, 372 |
| 31 | 217, 186 |
| 7, 6 |
∴ So the LCM of the given numbers is 2 x 31 x 7 x 6 = 2604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2604
Therefore, the GCF of Fractions 4029/434,2112/372 is 3/2604
Least Common Multiple of 434,372 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 434,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,372) = 62
common factors(in case of two or more numbers have common factors) = 1
GCF(434,372) x common factors =62 x 1 = 62
LCM(434,372) = ( 434 × 372 ) / 62
LCM(434,372) = 161448 / 62
LCM(434,372) = 2604
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4029/434, 2112/372
1. What is the HCF of 4029,2112?
The HCF of 4029,2112 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 4029/434, 2112/372?
Answer: GCF of Numerators as per given numbers 4029/434, 2112/372 is
GCF of Numerators i.e. for 4029,2112 is 3
LCM of denominators i.e. for 434,372 is 2604.
Thus, GCF of Fractions is 3/2604.Finally, GCF of Fractions for 4029/434, 2112/372 is 3/2604.