Use our free GCF of Fractions Calculator tool to compute the GCF of 744/422, 353/706 i.e 1/148966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 744/422, 353/706.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/422,353/706
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 744/422,353/706, numerators are 744,353
Denominators are 422,706
The GCF of 744,353 is 1 .
LCM of 422,706 is 148966.
The greatest common factor of 744/422,353/706 = [GCF of 744,353]/[LCM of 422,706]= 1/148966
Therefore, the GCF of 744/422,353/706 is 1/148966.
To find the highest common factor of 744,353, we have to find the factors of both numbers and list the highest common factor.
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 353 are 1, 353
The HCF of 744,353 is 1.
Lets's calculate GCF of 744,353
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Now, list down the factors of 353
:1,353
Greatest Common Factor
We found the factors 744,353 . The biggest common factor number is the GCF number.
So the greatest common factor 744,353 is 1.
Lets's calculate LCM of 422,706
2 | 422, 706 |
211, 353 |
∴ So the LCM of the given numbers is 2 x 211 x 353 = 148966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148966
Therefore, the GCF of Fractions 744/422,353/706 is 1/148966
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 422,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,706) x common factors =2 x 1 = 2
LCM(422,706) = ( 422 × 706 ) / 2
LCM(422,706) = 297932 / 2
LCM(422,706) = 148966
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 744,353?
The HCF of 744,353 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 744/422, 353/706?
Answer: GCF of Numerators as per given numbers 744/422, 353/706 is
GCF of Numerators i.e. for 744,353 is 1
LCM of denominators i.e. for 422,706 is 148966.
Thus, GCF of Fractions is 1/148966.Finally, GCF of Fractions for 744/422, 353/706 is 1/148966.