GCF of 1483/170, 9148/1100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1483/170, 9148/1100 i.e 1/18700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1483/170, 9148/1100.
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 1483/170,9148/1100?
Given fractions are 1483/170,9148/1100
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 1483/170,9148/1100, numerators are 1483,9148
Denominators are 170,1100
The GCF of 1483,9148 is 1 .
LCM of 170,1100 is 18700.
The greatest common factor of 1483/170,9148/1100 = [GCF of 1483,9148]/[LCM of 170,1100]= 1/18700
Therefore, the GCF of 1483/170,9148/1100 is 1/18700.
To find the highest common factor of 1483,9148, we have to find the factors of both numbers and list the highest common factor.
The factors of 1483 are 1, 1483
The factors of 9148 are 1, 2, 4, 2287, 4574, 9148
The HCF of 1483,9148 is 1.
Lets's calculate GCF of 1483,9148
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1483,9148 By Matching Biggest Common Factor Method
Now, list down the factors of 1483
:1,1483
Now, list down the factors of 9148
:1,2,4,2287,4574,9148
Greatest Common Factor
We found the factors 1483,9148 . The biggest common factor number is the GCF number.
So the greatest common factor 1483,9148 is 1.
Lets's calculate LCM of 170,1100
| 2 | 170, 1100 |
| 5 | 85, 550 |
| 17, 110 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 110 = 18700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18700
Therefore, the GCF of Fractions 1483/170,9148/1100 is 1/18700
Least Common Multiple of 170,1100 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 170,1100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,1100) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(170,1100) x common factors =10 x 1 = 10
LCM(170,1100) = ( 170 × 1100 ) / 10
LCM(170,1100) = 187000 / 10
LCM(170,1100) = 18700
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FAQs on GCF of Fractions of 1483/170, 9148/1100
1. What is the HCF of 1483,9148?
The HCF of 1483,9148 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 1483/170, 9148/1100?
Answer: GCF of Numerators as per given numbers 1483/170, 9148/1100 is
GCF of Numerators i.e. for 1483,9148 is 1
LCM of denominators i.e. for 170,1100 is 18700.
Thus, GCF of Fractions is 1/18700.Finally, GCF of Fractions for 1483/170, 9148/1100 is 1/18700.