GCF of 2648/338, 4504/3042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2648/338, 4504/3042 i.e 8/3042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2648/338, 4504/3042.
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 2648/338,4504/3042?
Given fractions are 2648/338,4504/3042
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 2648/338,4504/3042, numerators are 2648,4504
Denominators are 338,3042
The GCF of 2648,4504 is 8 .
LCM of 338,3042 is 3042.
The greatest common factor of 2648/338,4504/3042 = [GCF of 2648,4504]/[LCM of 338,3042]= 8/3042
Therefore, the GCF of 2648/338,4504/3042 is 8/3042.
To find the highest common factor of 2648,4504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648
The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504
The HCF of 2648,4504 is 8.
Lets's calculate GCF of 2648,4504
| 2 | 2648, 4504 |
| 2 | 1324, 2252 |
| 2 | 662, 1126 |
| 331, 563 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2648,4504 By Matching Biggest Common Factor Method
Now, list down the factors of 2648
:1,2,4,8,331,662,1324,2648
Now, list down the factors of 4504
:1,2,4,8,563,1126,2252,4504
Greatest Common Factor
We found the factors 2648,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 2648,4504 is 8.
Lets's calculate LCM of 338,3042
| 2 | 338, 3042 |
| 13 | 169, 1521 |
| 13 | 13, 117 |
| 1, 9 |
∴ So the LCM of the given numbers is 2 x 13 x 13 x 1 x 9 = 3042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3042
Therefore, the GCF of Fractions 2648/338,4504/3042 is 8/3042
Least Common Multiple of 338,3042 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 338,3042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,3042) = 338
common factors(in case of two or more numbers have common factors) = 1
GCF(338,3042) x common factors =338 x 1 = 338
LCM(338,3042) = ( 338 × 3042 ) / 338
LCM(338,3042) = 1028196 / 338
LCM(338,3042) = 3042
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FAQs on GCF of Fractions of 2648/338, 4504/3042
1. What is the HCF of 2648,4504?
The HCF of 2648,4504 is 8
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 2648/338, 4504/3042?
Answer: GCF of Numerators as per given numbers 2648/338, 4504/3042 is
GCF of Numerators i.e. for 2648,4504 is 8
LCM of denominators i.e. for 338,3042 is 3042.
Thus, GCF of Fractions is 8/3042.Finally, GCF of Fractions for 2648/338, 4504/3042 is 8/3042.