Use our free GCF of Fractions Calculator tool to compute the GCF of 374/588, 712/724 i.e 2/106428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/588, 712/724.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 374/588,712/724
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 374/588,712/724, numerators are 374,712
Denominators are 588,724
The GCF of 374,712 is 2 .
LCM of 588,724 is 106428.
The greatest common factor of 374/588,712/724 = [GCF of 374,712]/[LCM of 588,724]= 2/106428
Therefore, the GCF of 374/588,712/724 is 2/106428.
To find the highest common factor of 374,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 374,712 is 2.
Lets's calculate GCF of 374,712
2 | 374, 712 |
187, 356 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 374,712 . The biggest common factor number is the GCF number.
So the greatest common factor 374,712 is 2.
Lets's calculate LCM of 588,724
2 | 588, 724 |
2 | 294, 362 |
147, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 181 = 106428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106428
Therefore, the GCF of Fractions 374/588,712/724 is 2/106428
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 588,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,724) x common factors =4 x 1 = 4
LCM(588,724) = ( 588 × 724 ) / 4
LCM(588,724) = 425712 / 4
LCM(588,724) = 106428
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 374,712?
The HCF of 374,712 is 2
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 374/588, 712/724?
Answer: GCF of Numerators as per given numbers 374/588, 712/724 is
GCF of Numerators i.e. for 374,712 is 2
LCM of denominators i.e. for 588,724 is 106428.
Thus, GCF of Fractions is 2/106428.Finally, GCF of Fractions for 374/588, 712/724 is 2/106428.