Use our free GCF of Fractions Calculator tool to compute the GCF of 11/628, 68/820, 777/434 i.e 1/27936580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/628, 68/820, 777/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/628,68/820,777/434
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 11/628,68/820,777/434, numerators are 11,68,777
Denominators are 628,820,434
The GCF of 11,68,777 is 1 .
LCM of 628,820,434 is 27936580.
The greatest common factor of 11/628,68/820,777/434 = [GCF of 11,68,777]/[LCM of 628,820,434]= 1/27936580
Therefore, the GCF of 11/628,68/820,777/434 is 1/27936580.
To find the highest common factor of 11,68,777, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The HCF of 11,68,777 is 1.
Lets's calculate GCF of 11,68,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 11,68,777 . The biggest common factor number is the GCF number.
So the greatest common factor 11,68,777 is 1.
Lets's calculate LCM of 628,820,434
2 | 628, 820, 434 |
2 | 314, 410, 217 |
157, 205, 217 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 205 x 217 = 27936580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27936580
Therefore, the GCF of Fractions 11/628,68/820,777/434 is 1/27936580
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 628,820,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,820,434) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(628,820,434) x common factors =2 x 4 = 8
LCM(628,820,434) = ( 628 × 820 × 434 ) / 8
LCM(628,820,434) = 223492640 / 8
LCM(628,820,434) = 27936580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,68,777?
The HCF of 11,68,777 is 1
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 11/628, 68/820, 777/434?
Answer: GCF of Numerators as per given numbers 11/628, 68/820, 777/434 is
GCF of Numerators i.e. for 11,68,777 is 1
LCM of denominators i.e. for 628,820,434 is 27936580.
Thus, GCF of Fractions is 1/27936580.Finally, GCF of Fractions for 11/628, 68/820, 777/434 is 1/27936580.