Use our free GCF of Fractions Calculator tool to compute the GCF of 177/828, 690/110 i.e 3/45540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/828, 690/110.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/828,690/110
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 177/828,690/110, numerators are 177,690
Denominators are 828,110
The GCF of 177,690 is 3 .
LCM of 828,110 is 45540.
The greatest common factor of 177/828,690/110 = [GCF of 177,690]/[LCM of 828,110]= 3/45540
Therefore, the GCF of 177/828,690/110 is 3/45540.
To find the highest common factor of 177,690, we have to find the factors of both numbers and list the highest common factor.
The factors of 177 are 1, 3, 59, 177
The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
The HCF of 177,690 is 3.
Lets's calculate GCF of 177,690
3 | 177, 690 |
59, 230 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 177
:1,3,59,177
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 177,690 . The biggest common factor number is the GCF number.
So the greatest common factor 177,690 is 3.
Lets's calculate LCM of 828,110
2 | 828, 110 |
414, 55 |
∴ So the LCM of the given numbers is 2 x 414 x 55 = 45540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45540
Therefore, the GCF of Fractions 177/828,690/110 is 3/45540
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 828,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,110) x common factors =2 x 1 = 2
LCM(828,110) = ( 828 × 110 ) / 2
LCM(828,110) = 91080 / 2
LCM(828,110) = 45540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 177,690?
The HCF of 177,690 is 3
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 177/828, 690/110?
Answer: GCF of Numerators as per given numbers 177/828, 690/110 is
GCF of Numerators i.e. for 177,690 is 3
LCM of denominators i.e. for 828,110 is 45540.
Thus, GCF of Fractions is 3/45540.Finally, GCF of Fractions for 177/828, 690/110 is 3/45540.