Use our free GCF of Fractions Calculator tool to compute the GCF of 743/948, 225/648 i.e 1/51192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/948, 225/648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 743/948,225/648
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 743/948,225/648, numerators are 743,225
Denominators are 948,648
The GCF of 743,225 is 1 .
LCM of 948,648 is 51192.
The greatest common factor of 743/948,225/648 = [GCF of 743,225]/[LCM of 948,648]= 1/51192
Therefore, the GCF of 743/948,225/648 is 1/51192.
To find the highest common factor of 743,225, we have to find the factors of both numbers and list the highest common factor.
The factors of 743 are 1, 743
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 743,225 is 1.
Lets's calculate GCF of 743,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 743
:1,743
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 743,225 . The biggest common factor number is the GCF number.
So the greatest common factor 743,225 is 1.
Lets's calculate LCM of 948,648
2 | 948, 648 |
2 | 474, 324 |
3 | 237, 162 |
79, 54 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 54 = 51192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51192
Therefore, the GCF of Fractions 743/948,225/648 is 1/51192
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 948,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,648) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(948,648) x common factors =12 x 1 = 12
LCM(948,648) = ( 948 × 648 ) / 12
LCM(948,648) = 614304 / 12
LCM(948,648) = 51192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 743,225?
The HCF of 743,225 is 1
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 743/948, 225/648?
Answer: GCF of Numerators as per given numbers 743/948, 225/648 is
GCF of Numerators i.e. for 743,225 is 1
LCM of denominators i.e. for 948,648 is 51192.
Thus, GCF of Fractions is 1/51192.Finally, GCF of Fractions for 743/948, 225/648 is 1/51192.