GCF of 275/378, 190/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 275/378, 190/592 i.e 5/111888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/378, 190/592.
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 275/378,190/592?
Given fractions are 275/378,190/592
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 275/378,190/592, numerators are 275,190
Denominators are 378,592
The GCF of 275,190 is 5 .
LCM of 378,592 is 111888.
The greatest common factor of 275/378,190/592 = [GCF of 275,190]/[LCM of 378,592]= 5/111888
Therefore, the GCF of 275/378,190/592 is 5/111888.
To find the highest common factor of 275,190, we have to find the factors of both numbers and list the highest common factor.
The factors of 275 are 1, 5, 11, 25, 55, 275
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The HCF of 275,190 is 5.
Lets's calculate GCF of 275,190
| 5 | 275, 190 |
| 55, 38 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 275,190 By Matching Biggest Common Factor Method
Now, list down the factors of 275
:1,5,11,25,55,275
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 275,190 . The biggest common factor number is the GCF number.
So the greatest common factor 275,190 is 5.
Lets's calculate LCM of 378,592
| 2 | 378, 592 |
| 189, 296 |
∴ So the LCM of the given numbers is 2 x 189 x 296 = 111888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/111888
Therefore, the GCF of Fractions 275/378,190/592 is 5/111888
Least Common Multiple of 378,592 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 378,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,592) x common factors =2 x 1 = 2
LCM(378,592) = ( 378 × 592 ) / 2
LCM(378,592) = 223776 / 2
LCM(378,592) = 111888
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FAQs on GCF of Fractions of 275/378, 190/592
1. What is the HCF of 275,190?
The HCF of 275,190 is 5
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 275/378, 190/592?
Answer: GCF of Numerators as per given numbers 275/378, 190/592 is
GCF of Numerators i.e. for 275,190 is 5
LCM of denominators i.e. for 378,592 is 111888.
Thus, GCF of Fractions is 5/111888.Finally, GCF of Fractions for 275/378, 190/592 is 5/111888.