GCF of 1150/394, 1422/1922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1150/394, 1422/1922 i.e 2/378634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1150/394, 1422/1922.
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 1150/394,1422/1922?
Given fractions are 1150/394,1422/1922
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 1150/394,1422/1922, numerators are 1150,1422
Denominators are 394,1922
The GCF of 1150,1422 is 2 .
LCM of 394,1922 is 378634.
The greatest common factor of 1150/394,1422/1922 = [GCF of 1150,1422]/[LCM of 394,1922]= 2/378634
Therefore, the GCF of 1150/394,1422/1922 is 2/378634.
To find the highest common factor of 1150,1422, we have to find the factors of both numbers and list the highest common factor.
The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
The HCF of 1150,1422 is 2.
Lets's calculate GCF of 1150,1422
| 2 | 1150, 1422 |
| 575, 711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1150,1422 By Matching Biggest Common Factor Method
Now, list down the factors of 1150
:1,2,5,10,23,25,46,50,115,230,575,1150
Now, list down the factors of 1422
:1,2,3,6,9,18,79,158,237,474,711,1422
Greatest Common Factor
We found the factors 1150,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 1150,1422 is 2.
Lets's calculate LCM of 394,1922
| 2 | 394, 1922 |
| 197, 961 |
∴ So the LCM of the given numbers is 2 x 197 x 961 = 378634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/378634
Therefore, the GCF of Fractions 1150/394,1422/1922 is 2/378634
Least Common Multiple of 394,1922 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 394,1922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,1922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,1922) x common factors =2 x 1 = 2
LCM(394,1922) = ( 394 × 1922 ) / 2
LCM(394,1922) = 757268 / 2
LCM(394,1922) = 378634
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FAQs on GCF of Fractions of 1150/394, 1422/1922
1. What is the HCF of 1150,1422?
The HCF of 1150,1422 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 1150/394, 1422/1922?
Answer: GCF of Numerators as per given numbers 1150/394, 1422/1922 is
GCF of Numerators i.e. for 1150,1422 is 2
LCM of denominators i.e. for 394,1922 is 378634.
Thus, GCF of Fractions is 2/378634.Finally, GCF of Fractions for 1150/394, 1422/1922 is 2/378634.