GCF of 3342/294, 1030/8652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3342/294, 1030/8652 i.e 2/60564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3342/294, 1030/8652.
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 3342/294,1030/8652?
Given fractions are 3342/294,1030/8652
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 3342/294,1030/8652, numerators are 3342,1030
Denominators are 294,8652
The GCF of 3342,1030 is 2 .
LCM of 294,8652 is 60564.
The greatest common factor of 3342/294,1030/8652 = [GCF of 3342,1030]/[LCM of 294,8652]= 2/60564
Therefore, the GCF of 3342/294,1030/8652 is 2/60564.
To find the highest common factor of 3342,1030, we have to find the factors of both numbers and list the highest common factor.
The factors of 3342 are 1, 2, 3, 6, 557, 1114, 1671, 3342
The factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030
The HCF of 3342,1030 is 2.
Lets's calculate GCF of 3342,1030
| 2 | 3342, 1030 |
| 1671, 515 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3342,1030 By Matching Biggest Common Factor Method
Now, list down the factors of 3342
:1,2,3,6,557,1114,1671,3342
Now, list down the factors of 1030
:1,2,5,10,103,206,515,1030
Greatest Common Factor
We found the factors 3342,1030 . The biggest common factor number is the GCF number.
So the greatest common factor 3342,1030 is 2.
Lets's calculate LCM of 294,8652
| 2 | 294, 8652 |
| 3 | 147, 4326 |
| 7 | 49, 1442 |
| 7, 206 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 206 = 60564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60564
Therefore, the GCF of Fractions 3342/294,1030/8652 is 2/60564
Least Common Multiple of 294,8652 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 294,8652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,8652) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(294,8652) x common factors =42 x 1 = 42
LCM(294,8652) = ( 294 × 8652 ) / 42
LCM(294,8652) = 2543688 / 42
LCM(294,8652) = 60564
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FAQs on GCF of Fractions of 3342/294, 1030/8652
1. What is the HCF of 3342,1030?
The HCF of 3342,1030 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 3342/294, 1030/8652?
Answer: GCF of Numerators as per given numbers 3342/294, 1030/8652 is
GCF of Numerators i.e. for 3342,1030 is 2
LCM of denominators i.e. for 294,8652 is 60564.
Thus, GCF of Fractions is 2/60564.Finally, GCF of Fractions for 3342/294, 1030/8652 is 2/60564.