GCF of 190/91, 285/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 190/91, 285/975 i.e 95/6825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/91, 285/975.
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 190/91,285/975?
Given fractions are 190/91,285/975
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 190/91,285/975, numerators are 190,285
Denominators are 91,975
The GCF of 190,285 is 95 .
LCM of 91,975 is 6825.
The greatest common factor of 190/91,285/975 = [GCF of 190,285]/[LCM of 91,975]= 95/6825
Therefore, the GCF of 190/91,285/975 is 95/6825.
To find the highest common factor of 190,285, we have to find the factors of both numbers and list the highest common factor.
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The HCF of 190,285 is 95.
Lets's calculate GCF of 190,285
| 5 | 190, 285 |
| 19 | 38, 57 |
| 2, 3 |
∴ So the GCF of the given numbers is 5 x 19 = 95
Greatest Common Factor of 190,285 By Matching Biggest Common Factor Method
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 190,285 . The biggest common factor number is the GCF number.
So the greatest common factor 190,285 is 95.
Lets's calculate LCM of 91,975
| 13 | 91, 975 |
| 7, 75 |
∴ So the LCM of the given numbers is 13 x 7 x 75 = 6825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/6825
Therefore, the GCF of Fractions 190/91,285/975 is 95/6825
Least Common Multiple of 91,975 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 91,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,975) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(91,975) x common factors =13 x 1 = 13
LCM(91,975) = ( 91 × 975 ) / 13
LCM(91,975) = 88725 / 13
LCM(91,975) = 6825
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FAQs on GCF of Fractions of 190/91, 285/975
1. What is the HCF of 190,285?
The HCF of 190,285 is 95
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 190/91, 285/975?
Answer: GCF of Numerators as per given numbers 190/91, 285/975 is
GCF of Numerators i.e. for 190,285 is 95
LCM of denominators i.e. for 91,975 is 6825.
Thus, GCF of Fractions is 95/6825.Finally, GCF of Fractions for 190/91, 285/975 is 95/6825.