GCF of 5148/513, 1914/266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5148/513, 1914/266 i.e 66/7182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5148/513, 1914/266.
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 5148/513,1914/266?
Given fractions are 5148/513,1914/266
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 5148/513,1914/266, numerators are 5148,1914
Denominators are 513,266
The GCF of 5148,1914 is 66 .
LCM of 513,266 is 7182.
The greatest common factor of 5148/513,1914/266 = [GCF of 5148,1914]/[LCM of 513,266]= 66/7182
Therefore, the GCF of 5148/513,1914/266 is 66/7182.
To find the highest common factor of 5148,1914, we have to find the factors of both numbers and list the highest common factor.
The factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The HCF of 5148,1914 is 66.
Lets's calculate GCF of 5148,1914
| 2 | 5148, 1914 |
| 3 | 2574, 957 |
| 11 | 858, 319 |
| 78, 29 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 5148,1914 By Matching Biggest Common Factor Method
Now, list down the factors of 5148
:1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Now, list down the factors of 1914
:1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Greatest Common Factor
We found the factors 5148,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 5148,1914 is 66.
Lets's calculate LCM of 513,266
| 19 | 513, 266 |
| 27, 14 |
∴ So the LCM of the given numbers is 19 x 27 x 14 = 7182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/7182
Therefore, the GCF of Fractions 5148/513,1914/266 is 66/7182
Least Common Multiple of 513,266 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 513,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,266) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(513,266) x common factors =19 x 1 = 19
LCM(513,266) = ( 513 × 266 ) / 19
LCM(513,266) = 136458 / 19
LCM(513,266) = 7182
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FAQs on GCF of Fractions of 5148/513, 1914/266
1. What is the HCF of 5148,1914?
The HCF of 5148,1914 is 66
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 5148/513, 1914/266?
Answer: GCF of Numerators as per given numbers 5148/513, 1914/266 is
GCF of Numerators i.e. for 5148,1914 is 66
LCM of denominators i.e. for 513,266 is 7182.
Thus, GCF of Fractions is 66/7182.Finally, GCF of Fractions for 5148/513, 1914/266 is 66/7182.