GCF of 190/156, 6080/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 190/156, 6080/368 i.e 190/14352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/156, 6080/368.
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 190/156,6080/368?
Given fractions are 190/156,6080/368
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 190/156,6080/368, numerators are 190,6080
Denominators are 156,368
The GCF of 190,6080 is 190 .
LCM of 156,368 is 14352.
The greatest common factor of 190/156,6080/368 = [GCF of 190,6080]/[LCM of 156,368]= 190/14352
Therefore, the GCF of 190/156,6080/368 is 190/14352.
To find the highest common factor of 190,6080, 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 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080
The HCF of 190,6080 is 190.
Lets's calculate GCF of 190,6080
| 2 | 190, 6080 |
| 5 | 95, 3040 |
| 19 | 19, 608 |
| 1, 32 |
∴ So the GCF of the given numbers is 2 x 5 x 19 = 190
Greatest Common Factor of 190,6080 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 6080
:1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080
Greatest Common Factor
We found the factors 190,6080 . The biggest common factor number is the GCF number.
So the greatest common factor 190,6080 is 190.
Lets's calculate LCM of 156,368
| 2 | 156, 368 |
| 2 | 78, 184 |
| 39, 92 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 92 = 14352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 190/14352
Therefore, the GCF of Fractions 190/156,6080/368 is 190/14352
Least Common Multiple of 156,368 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 156,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,368) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(156,368) x common factors =4 x 1 = 4
LCM(156,368) = ( 156 × 368 ) / 4
LCM(156,368) = 57408 / 4
LCM(156,368) = 14352
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 190/156, 6080/368
1. What is the HCF of 190,6080?
The HCF of 190,6080 is 190
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 190/156, 6080/368?
Answer: GCF of Numerators as per given numbers 190/156, 6080/368 is
GCF of Numerators i.e. for 190,6080 is 190
LCM of denominators i.e. for 156,368 is 14352.
Thus, GCF of Fractions is 190/14352.Finally, GCF of Fractions for 190/156, 6080/368 is 190/14352.