Use our free GCF of Fractions Calculator tool to compute the GCF of 355/342, 707/674 i.e 1/115254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/342, 707/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/342,707/674
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 355/342,707/674, numerators are 355,707
Denominators are 342,674
The GCF of 355,707 is 1 .
LCM of 342,674 is 115254.
The greatest common factor of 355/342,707/674 = [GCF of 355,707]/[LCM of 342,674]= 1/115254
Therefore, the GCF of 355/342,707/674 is 1/115254.
To find the highest common factor of 355,707, we have to find the factors of both numbers and list the highest common factor.
The factors of 355 are 1, 5, 71, 355
The factors of 707 are 1, 7, 101, 707
The HCF of 355,707 is 1.
Lets's calculate GCF of 355,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 355
:1,5,71,355
Now, list down the factors of 707
:1,7,101,707
Greatest Common Factor
We found the factors 355,707 . The biggest common factor number is the GCF number.
So the greatest common factor 355,707 is 1.
Lets's calculate LCM of 342,674
2 | 342, 674 |
171, 337 |
∴ So the LCM of the given numbers is 2 x 171 x 337 = 115254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115254
Therefore, the GCF of Fractions 355/342,707/674 is 1/115254
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 342,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,674) x common factors =2 x 1 = 2
LCM(342,674) = ( 342 × 674 ) / 2
LCM(342,674) = 230508 / 2
LCM(342,674) = 115254
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 355,707?
The HCF of 355,707 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 355/342, 707/674?
Answer: GCF of Numerators as per given numbers 355/342, 707/674 is
GCF of Numerators i.e. for 355,707 is 1
LCM of denominators i.e. for 342,674 is 115254.
Thus, GCF of Fractions is 1/115254.Finally, GCF of Fractions for 355/342, 707/674 is 1/115254.