Use our free GCF of Fractions Calculator tool to compute the GCF of 777/975, 228/148 i.e 3/144300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/975, 228/148.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/975,228/148
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 777/975,228/148, numerators are 777,228
Denominators are 975,148
The GCF of 777,228 is 3 .
LCM of 975,148 is 144300.
The greatest common factor of 777/975,228/148 = [GCF of 777,228]/[LCM of 975,148]= 3/144300
Therefore, the GCF of 777/975,228/148 is 3/144300.
To find the highest common factor of 777,228, we have to find the factors of both numbers and list the highest common factor.
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The HCF of 777,228 is 3.
Lets's calculate GCF of 777,228
3 | 777, 228 |
259, 76 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 777,228 . The biggest common factor number is the GCF number.
So the greatest common factor 777,228 is 3.
Lets's calculate LCM of 975,148
Given numbers has no common factors except 1. So, there LCM is their product i.e 144300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/144300
Therefore, the GCF of Fractions 777/975,228/148 is 3/144300
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 975,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,148) x common factors =1 x 1 = 1
LCM(975,148) = ( 975 × 148 ) / 1
LCM(975,148) = 144300 / 1
LCM(975,148) = 144300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 777,228?
The HCF of 777,228 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 777/975, 228/148?
Answer: GCF of Numerators as per given numbers 777/975, 228/148 is
GCF of Numerators i.e. for 777,228 is 3
LCM of denominators i.e. for 975,148 is 144300.
Thus, GCF of Fractions is 3/144300.Finally, GCF of Fractions for 777/975, 228/148 is 3/144300.