Use our free GCF of Fractions Calculator tool to compute the GCF of 608/675, 912/325 i.e 304/8775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 608/675, 912/325.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 608/675,912/325
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 608/675,912/325, numerators are 608,912
Denominators are 675,325
The GCF of 608,912 is 304 .
LCM of 675,325 is 8775.
The greatest common factor of 608/675,912/325 = [GCF of 608,912]/[LCM of 675,325]= 304/8775
Therefore, the GCF of 608/675,912/325 is 304/8775.
To find the highest common factor of 608,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 608,912 is 304.
Lets's calculate GCF of 608,912
2 | 608, 912 |
2 | 304, 456 |
2 | 152, 228 |
2 | 76, 114 |
19 | 38, 57 |
2, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 19 = 304
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 608,912 . The biggest common factor number is the GCF number.
So the greatest common factor 608,912 is 304.
Lets's calculate LCM of 675,325
5 | 675, 325 |
5 | 135, 65 |
27, 13 |
∴ So the LCM of the given numbers is 5 x 5 x 27 x 13 = 8775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 304/8775
Therefore, the GCF of Fractions 608/675,912/325 is 304/8775
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 675,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,325) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(675,325) x common factors =25 x 1 = 25
LCM(675,325) = ( 675 × 325 ) / 25
LCM(675,325) = 219375 / 25
LCM(675,325) = 8775
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 608,912?
The HCF of 608,912 is 304
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 608/675, 912/325?
Answer: GCF of Numerators as per given numbers 608/675, 912/325 is
GCF of Numerators i.e. for 608,912 is 304
LCM of denominators i.e. for 675,325 is 8775.
Thus, GCF of Fractions is 304/8775.Finally, GCF of Fractions for 608/675, 912/325 is 304/8775.