Use our free GCF of Fractions Calculator tool to compute the GCF of 828/426, 6027/376 i.e 3/80088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/426, 6027/376.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 828/426,6027/376
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 828/426,6027/376, numerators are 828,6027
Denominators are 426,376
The GCF of 828,6027 is 3 .
LCM of 426,376 is 80088.
The greatest common factor of 828/426,6027/376 = [GCF of 828,6027]/[LCM of 426,376]= 3/80088
Therefore, the GCF of 828/426,6027/376 is 3/80088.
To find the highest common factor of 828,6027, we have to find the factors of both numbers and list the highest common factor.
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The HCF of 828,6027 is 3.
Lets's calculate GCF of 828,6027
3 | 828, 6027 |
276, 2009 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 828,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 828,6027 is 3.
Lets's calculate LCM of 426,376
2 | 426, 376 |
213, 188 |
∴ So the LCM of the given numbers is 2 x 213 x 188 = 80088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80088
Therefore, the GCF of Fractions 828/426,6027/376 is 3/80088
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 426,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,376) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,376) x common factors =2 x 1 = 2
LCM(426,376) = ( 426 × 376 ) / 2
LCM(426,376) = 160176 / 2
LCM(426,376) = 80088
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 828,6027?
The HCF of 828,6027 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 828/426, 6027/376?
Answer: GCF of Numerators as per given numbers 828/426, 6027/376 is
GCF of Numerators i.e. for 828,6027 is 3
LCM of denominators i.e. for 426,376 is 80088.
Thus, GCF of Fractions is 3/80088.Finally, GCF of Fractions for 828/426, 6027/376 is 3/80088.