GCF of 3037/297, 1758/2268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3037/297, 1758/2268 i.e 1/24948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3037/297, 1758/2268.
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 3037/297,1758/2268?
Given fractions are 3037/297,1758/2268
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 3037/297,1758/2268, numerators are 3037,1758
Denominators are 297,2268
The GCF of 3037,1758 is 1 .
LCM of 297,2268 is 24948.
The greatest common factor of 3037/297,1758/2268 = [GCF of 3037,1758]/[LCM of 297,2268]= 1/24948
Therefore, the GCF of 3037/297,1758/2268 is 1/24948.
To find the highest common factor of 3037,1758, we have to find the factors of both numbers and list the highest common factor.
The factors of 3037 are 1, 3037
The factors of 1758 are 1, 2, 3, 6, 293, 586, 879, 1758
The HCF of 3037,1758 is 1.
Lets's calculate GCF of 3037,1758
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3037,1758 By Matching Biggest Common Factor Method
Now, list down the factors of 3037
:1,3037
Now, list down the factors of 1758
:1,2,3,6,293,586,879,1758
Greatest Common Factor
We found the factors 3037,1758 . The biggest common factor number is the GCF number.
So the greatest common factor 3037,1758 is 1.
Lets's calculate LCM of 297,2268
| 3 | 297, 2268 |
| 3 | 99, 756 |
| 3 | 33, 252 |
| 11, 84 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 84 = 24948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24948
Therefore, the GCF of Fractions 3037/297,1758/2268 is 1/24948
Least Common Multiple of 297,2268 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 297,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,2268) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(297,2268) x common factors =27 x 1 = 27
LCM(297,2268) = ( 297 × 2268 ) / 27
LCM(297,2268) = 673596 / 27
LCM(297,2268) = 24948
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FAQs on GCF of Fractions of 3037/297, 1758/2268
1. What is the HCF of 3037,1758?
The HCF of 3037,1758 is 1
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 3037/297, 1758/2268?
Answer: GCF of Numerators as per given numbers 3037/297, 1758/2268 is
GCF of Numerators i.e. for 3037,1758 is 1
LCM of denominators i.e. for 297,2268 is 24948.
Thus, GCF of Fractions is 1/24948.Finally, GCF of Fractions for 3037/297, 1758/2268 is 1/24948.