Use our free GCF of Fractions Calculator tool to compute the GCF of 2235/742, 1008/9048 i.e 3/3356808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2235/742, 1008/9048.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2235/742,1008/9048
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 2235/742,1008/9048, numerators are 2235,1008
Denominators are 742,9048
The GCF of 2235,1008 is 3 .
LCM of 742,9048 is 3356808.
The greatest common factor of 2235/742,1008/9048 = [GCF of 2235,1008]/[LCM of 742,9048]= 3/3356808
Therefore, the GCF of 2235/742,1008/9048 is 3/3356808.
To find the highest common factor of 2235,1008, we have to find the factors of both numbers and list the highest common factor.
The factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235
The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
The HCF of 2235,1008 is 3.
Lets's calculate GCF of 2235,1008
3 | 2235, 1008 |
745, 336 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 2235
:1,3,5,15,149,447,745,2235
Now, list down the factors of 1008
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Greatest Common Factor
We found the factors 2235,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 2235,1008 is 3.
Lets's calculate LCM of 742,9048
2 | 742, 9048 |
371, 4524 |
∴ So the LCM of the given numbers is 2 x 371 x 4524 = 3356808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3356808
Therefore, the GCF of Fractions 2235/742,1008/9048 is 3/3356808
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 742,9048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,9048) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,9048) x common factors =2 x 1 = 2
LCM(742,9048) = ( 742 × 9048 ) / 2
LCM(742,9048) = 6713616 / 2
LCM(742,9048) = 3356808
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2235,1008?
The HCF of 2235,1008 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 2235/742, 1008/9048?
Answer: GCF of Numerators as per given numbers 2235/742, 1008/9048 is
GCF of Numerators i.e. for 2235,1008 is 3
LCM of denominators i.e. for 742,9048 is 3356808.
Thus, GCF of Fractions is 3/3356808.Finally, GCF of Fractions for 2235/742, 1008/9048 is 3/3356808.