Use our free GCF of Fractions Calculator tool to compute the GCF of 177/891, 918/747 i.e 3/73953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/891, 918/747.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/891,918/747
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 177/891,918/747, numerators are 177,918
Denominators are 891,747
The GCF of 177,918 is 3 .
LCM of 891,747 is 73953.
The greatest common factor of 177/891,918/747 = [GCF of 177,918]/[LCM of 891,747]= 3/73953
Therefore, the GCF of 177/891,918/747 is 3/73953.
To find the highest common factor of 177,918, 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 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 177,918 is 3.
Lets's calculate GCF of 177,918
3 | 177, 918 |
59, 306 |
∴ 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 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 177,918 . The biggest common factor number is the GCF number.
So the greatest common factor 177,918 is 3.
Lets's calculate LCM of 891,747
3 | 891, 747 |
3 | 297, 249 |
99, 83 |
∴ So the LCM of the given numbers is 3 x 3 x 99 x 83 = 73953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73953
Therefore, the GCF of Fractions 177/891,918/747 is 3/73953
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 891,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,747) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(891,747) x common factors =9 x 1 = 9
LCM(891,747) = ( 891 × 747 ) / 9
LCM(891,747) = 665577 / 9
LCM(891,747) = 73953
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 177,918?
The HCF of 177,918 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 177/891, 918/747?
Answer: GCF of Numerators as per given numbers 177/891, 918/747 is
GCF of Numerators i.e. for 177,918 is 3
LCM of denominators i.e. for 891,747 is 73953.
Thus, GCF of Fractions is 3/73953.Finally, GCF of Fractions for 177/891, 918/747 is 3/73953.