Use our free GCF of Fractions Calculator tool to compute the GCF of 722/639, 406/397 i.e 2/253683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/639, 406/397.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 722/639,406/397
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 722/639,406/397, numerators are 722,406
Denominators are 639,397
The GCF of 722,406 is 2 .
LCM of 639,397 is 253683.
The greatest common factor of 722/639,406/397 = [GCF of 722,406]/[LCM of 639,397]= 2/253683
Therefore, the GCF of 722/639,406/397 is 2/253683.
To find the highest common factor of 722,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 722 are 1, 2, 19, 38, 361, 722
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 722,406 is 2.
Lets's calculate GCF of 722,406
2 | 722, 406 |
361, 203 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 722
:1,2,19,38,361,722
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 722,406 . The biggest common factor number is the GCF number.
So the greatest common factor 722,406 is 2.
Lets's calculate LCM of 639,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 253683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253683
Therefore, the GCF of Fractions 722/639,406/397 is 2/253683
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 639,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,397) x common factors =1 x 1 = 1
LCM(639,397) = ( 639 × 397 ) / 1
LCM(639,397) = 253683 / 1
LCM(639,397) = 253683
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 722,406?
The HCF of 722,406 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 722/639, 406/397?
Answer: GCF of Numerators as per given numbers 722/639, 406/397 is
GCF of Numerators i.e. for 722,406 is 2
LCM of denominators i.e. for 639,397 is 253683.
Thus, GCF of Fractions is 2/253683.Finally, GCF of Fractions for 722/639, 406/397 is 2/253683.