Use our free GCF of Fractions Calculator tool to compute the GCF of 755/177, 690/819 i.e 5/48321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 755/177, 690/819.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 755/177,690/819
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 755/177,690/819, numerators are 755,690
Denominators are 177,819
The GCF of 755,690 is 5 .
LCM of 177,819 is 48321.
The greatest common factor of 755/177,690/819 = [GCF of 755,690]/[LCM of 177,819]= 5/48321
Therefore, the GCF of 755/177,690/819 is 5/48321.
To find the highest common factor of 755,690, we have to find the factors of both numbers and list the highest common factor.
The factors of 755 are 1, 5, 151, 755
The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
The HCF of 755,690 is 5.
Lets's calculate GCF of 755,690
5 | 755, 690 |
151, 138 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 755
:1,5,151,755
Now, list down the factors of 690
:1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 755,690 . The biggest common factor number is the GCF number.
So the greatest common factor 755,690 is 5.
Lets's calculate LCM of 177,819
3 | 177, 819 |
59, 273 |
∴ So the LCM of the given numbers is 3 x 59 x 273 = 48321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/48321
Therefore, the GCF of Fractions 755/177,690/819 is 5/48321
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 177,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,819) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,819) x common factors =3 x 1 = 3
LCM(177,819) = ( 177 × 819 ) / 3
LCM(177,819) = 144963 / 3
LCM(177,819) = 48321
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 755,690?
The HCF of 755,690 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 755/177, 690/819?
Answer: GCF of Numerators as per given numbers 755/177, 690/819 is
GCF of Numerators i.e. for 755,690 is 5
LCM of denominators i.e. for 177,819 is 48321.
Thus, GCF of Fractions is 5/48321.Finally, GCF of Fractions for 755/177, 690/819 is 5/48321.