Use our free GCF of Fractions Calculator tool to compute the GCF of 340/704, 422/266 i.e 2/93632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/704, 422/266.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 340/704,422/266
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 340/704,422/266, numerators are 340,422
Denominators are 704,266
The GCF of 340,422 is 2 .
LCM of 704,266 is 93632.
The greatest common factor of 340/704,422/266 = [GCF of 340,422]/[LCM of 704,266]= 2/93632
Therefore, the GCF of 340/704,422/266 is 2/93632.
To find the highest common factor of 340,422, we have to find the factors of both numbers and list the highest common factor.
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The factors of 422 are 1, 2, 211, 422
The HCF of 340,422 is 2.
Lets's calculate GCF of 340,422
2 | 340, 422 |
170, 211 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Now, list down the factors of 422
:1,2,211,422
Greatest Common Factor
We found the factors 340,422 . The biggest common factor number is the GCF number.
So the greatest common factor 340,422 is 2.
Lets's calculate LCM of 704,266
2 | 704, 266 |
352, 133 |
∴ So the LCM of the given numbers is 2 x 352 x 133 = 93632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93632
Therefore, the GCF of Fractions 340/704,422/266 is 2/93632
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 704,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,266) x common factors =2 x 1 = 2
LCM(704,266) = ( 704 × 266 ) / 2
LCM(704,266) = 187264 / 2
LCM(704,266) = 93632
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 340,422?
The HCF of 340,422 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 340/704, 422/266?
Answer: GCF of Numerators as per given numbers 340/704, 422/266 is
GCF of Numerators i.e. for 340,422 is 2
LCM of denominators i.e. for 704,266 is 93632.
Thus, GCF of Fractions is 2/93632.Finally, GCF of Fractions for 340/704, 422/266 is 2/93632.