GCF of 1485/498, 5751/1901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1485/498, 5751/1901 i.e 27/946698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1485/498, 5751/1901.
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 1485/498,5751/1901?
Given fractions are 1485/498,5751/1901
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 1485/498,5751/1901, numerators are 1485,5751
Denominators are 498,1901
The GCF of 1485,5751 is 27 .
LCM of 498,1901 is 946698.
The greatest common factor of 1485/498,5751/1901 = [GCF of 1485,5751]/[LCM of 498,1901]= 27/946698
Therefore, the GCF of 1485/498,5751/1901 is 27/946698.
To find the highest common factor of 1485,5751, we have to find the factors of both numbers and list the highest common factor.
The factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485
The factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751
The HCF of 1485,5751 is 27.
Lets's calculate GCF of 1485,5751
| 3 | 1485, 5751 |
| 3 | 495, 1917 |
| 3 | 165, 639 |
| 55, 213 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 1485,5751 By Matching Biggest Common Factor Method
Now, list down the factors of 1485
:1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485
Now, list down the factors of 5751
:1,3,9,27,71,81,213,639,1917,5751
Greatest Common Factor
We found the factors 1485,5751 . The biggest common factor number is the GCF number.
So the greatest common factor 1485,5751 is 27.
Lets's calculate LCM of 498,1901
Given numbers has no common factors except 1. So, there LCM is their product i.e 946698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/946698
Therefore, the GCF of Fractions 1485/498,5751/1901 is 27/946698
Least Common Multiple of 498,1901 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 498,1901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,1901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,1901) x common factors =1 x 1 = 1
LCM(498,1901) = ( 498 × 1901 ) / 1
LCM(498,1901) = 946698 / 1
LCM(498,1901) = 946698
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FAQs on GCF of Fractions of 1485/498, 5751/1901
1. What is the HCF of 1485,5751?
The HCF of 1485,5751 is 27
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 1485/498, 5751/1901?
Answer: GCF of Numerators as per given numbers 1485/498, 5751/1901 is
GCF of Numerators i.e. for 1485,5751 is 27
LCM of denominators i.e. for 498,1901 is 946698.
Thus, GCF of Fractions is 27/946698.Finally, GCF of Fractions for 1485/498, 5751/1901 is 27/946698.