GCF of 1099/380, 8644/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1099/380, 8644/738 i.e 1/140220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1099/380, 8644/738.
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 1099/380,8644/738?
Given fractions are 1099/380,8644/738
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 1099/380,8644/738, numerators are 1099,8644
Denominators are 380,738
The GCF of 1099,8644 is 1 .
LCM of 380,738 is 140220.
The greatest common factor of 1099/380,8644/738 = [GCF of 1099,8644]/[LCM of 380,738]= 1/140220
Therefore, the GCF of 1099/380,8644/738 is 1/140220.
To find the highest common factor of 1099,8644, we have to find the factors of both numbers and list the highest common factor.
The factors of 1099 are 1, 7, 157, 1099
The factors of 8644 are 1, 2, 4, 2161, 4322, 8644
The HCF of 1099,8644 is 1.
Lets's calculate GCF of 1099,8644
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1099,8644 By Matching Biggest Common Factor Method
Now, list down the factors of 1099
:1,7,157,1099
Now, list down the factors of 8644
:1,2,4,2161,4322,8644
Greatest Common Factor
We found the factors 1099,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 1099,8644 is 1.
Lets's calculate LCM of 380,738
| 2 | 380, 738 |
| 190, 369 |
∴ So the LCM of the given numbers is 2 x 190 x 369 = 140220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140220
Therefore, the GCF of Fractions 1099/380,8644/738 is 1/140220
Least Common Multiple of 380,738 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 380,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(380,738) x common factors =2 x 1 = 2
LCM(380,738) = ( 380 × 738 ) / 2
LCM(380,738) = 280440 / 2
LCM(380,738) = 140220
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FAQs on GCF of Fractions of 1099/380, 8644/738
1. What is the HCF of 1099,8644?
The HCF of 1099,8644 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 1099/380, 8644/738?
Answer: GCF of Numerators as per given numbers 1099/380, 8644/738 is
GCF of Numerators i.e. for 1099,8644 is 1
LCM of denominators i.e. for 380,738 is 140220.
Thus, GCF of Fractions is 1/140220.Finally, GCF of Fractions for 1099/380, 8644/738 is 1/140220.