Use our free GCF of Fractions Calculator tool to compute the GCF of 255/772, 340/130 i.e 85/50180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/772, 340/130.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/772,340/130
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 255/772,340/130, numerators are 255,340
Denominators are 772,130
The GCF of 255,340 is 85 .
LCM of 772,130 is 50180.
The greatest common factor of 255/772,340/130 = [GCF of 255,340]/[LCM of 772,130]= 85/50180
Therefore, the GCF of 255/772,340/130 is 85/50180.
To find the highest common factor of 255,340, we have to find the factors of both numbers and list the highest common factor.
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The HCF of 255,340 is 85.
Lets's calculate GCF of 255,340
5 | 255, 340 |
17 | 51, 68 |
3, 4 |
∴ So the GCF of the given numbers is 5 x 17 = 85
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 255,340 . The biggest common factor number is the GCF number.
So the greatest common factor 255,340 is 85.
Lets's calculate LCM of 772,130
2 | 772, 130 |
386, 65 |
∴ So the LCM of the given numbers is 2 x 386 x 65 = 50180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/50180
Therefore, the GCF of Fractions 255/772,340/130 is 85/50180
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 772,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,130) x common factors =2 x 1 = 2
LCM(772,130) = ( 772 × 130 ) / 2
LCM(772,130) = 100360 / 2
LCM(772,130) = 50180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 255,340?
The HCF of 255,340 is 85
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 255/772, 340/130?
Answer: GCF of Numerators as per given numbers 255/772, 340/130 is
GCF of Numerators i.e. for 255,340 is 85
LCM of denominators i.e. for 772,130 is 50180.
Thus, GCF of Fractions is 85/50180.Finally, GCF of Fractions for 255/772, 340/130 is 85/50180.