GCF of 1146/204, 5260/4752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1146/204, 5260/4752 i.e 2/80784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1146/204, 5260/4752.
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 1146/204,5260/4752?
Given fractions are 1146/204,5260/4752
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 1146/204,5260/4752, numerators are 1146,5260
Denominators are 204,4752
The GCF of 1146,5260 is 2 .
LCM of 204,4752 is 80784.
The greatest common factor of 1146/204,5260/4752 = [GCF of 1146,5260]/[LCM of 204,4752]= 2/80784
Therefore, the GCF of 1146/204,5260/4752 is 2/80784.
To find the highest common factor of 1146,5260, we have to find the factors of both numbers and list the highest common factor.
The factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The HCF of 1146,5260 is 2.
Lets's calculate GCF of 1146,5260
| 2 | 1146, 5260 |
| 573, 2630 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1146,5260 By Matching Biggest Common Factor Method
Now, list down the factors of 1146
:1,2,3,6,191,382,573,1146
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Greatest Common Factor
We found the factors 1146,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 1146,5260 is 2.
Lets's calculate LCM of 204,4752
| 2 | 204, 4752 |
| 2 | 102, 2376 |
| 3 | 51, 1188 |
| 17, 396 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 396 = 80784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80784
Therefore, the GCF of Fractions 1146/204,5260/4752 is 2/80784
Least Common Multiple of 204,4752 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 204,4752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,4752) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(204,4752) x common factors =12 x 1 = 12
LCM(204,4752) = ( 204 × 4752 ) / 12
LCM(204,4752) = 969408 / 12
LCM(204,4752) = 80784
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FAQs on GCF of Fractions of 1146/204, 5260/4752
1. What is the HCF of 1146,5260?
The HCF of 1146,5260 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 1146/204, 5260/4752?
Answer: GCF of Numerators as per given numbers 1146/204, 5260/4752 is
GCF of Numerators i.e. for 1146,5260 is 2
LCM of denominators i.e. for 204,4752 is 80784.
Thus, GCF of Fractions is 2/80784.Finally, GCF of Fractions for 1146/204, 5260/4752 is 2/80784.