GCF of 190/168, 2678/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 190/168, 2678/170 i.e 2/14280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/168, 2678/170.
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 190/168,2678/170?
Given fractions are 190/168,2678/170
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 190/168,2678/170, numerators are 190,2678
Denominators are 168,170
The GCF of 190,2678 is 2 .
LCM of 168,170 is 14280.
The greatest common factor of 190/168,2678/170 = [GCF of 190,2678]/[LCM of 168,170]= 2/14280
Therefore, the GCF of 190/168,2678/170 is 2/14280.
To find the highest common factor of 190,2678, 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 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 190,2678 is 2.
Lets's calculate GCF of 190,2678
| 2 | 190, 2678 |
| 95, 1339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 190,2678 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 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 190,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 190,2678 is 2.
Lets's calculate LCM of 168,170
| 2 | 168, 170 |
| 84, 85 |
∴ So the LCM of the given numbers is 2 x 84 x 85 = 14280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14280
Therefore, the GCF of Fractions 190/168,2678/170 is 2/14280
Least Common Multiple of 168,170 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 168,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,170) x common factors =2 x 1 = 2
LCM(168,170) = ( 168 × 170 ) / 2
LCM(168,170) = 28560 / 2
LCM(168,170) = 14280
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FAQs on GCF of Fractions of 190/168, 2678/170
1. What is the HCF of 190,2678?
The HCF of 190,2678 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 190/168, 2678/170?
Answer: GCF of Numerators as per given numbers 190/168, 2678/170 is
GCF of Numerators i.e. for 190,2678 is 2
LCM of denominators i.e. for 168,170 is 14280.
Thus, GCF of Fractions is 2/14280.Finally, GCF of Fractions for 190/168, 2678/170 is 2/14280.