Use our free GCF of Fractions Calculator tool to compute the GCF of 608/934, 598/401 i.e 2/374534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 608/934, 598/401.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 608/934,598/401
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 608/934,598/401, numerators are 608,598
Denominators are 934,401
The GCF of 608,598 is 2 .
LCM of 934,401 is 374534.
The greatest common factor of 608/934,598/401 = [GCF of 608,598]/[LCM of 934,401]= 2/374534
Therefore, the GCF of 608/934,598/401 is 2/374534.
To find the highest common factor of 608,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 608,598 is 2.
Lets's calculate GCF of 608,598
2 | 608, 598 |
304, 299 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 608,598 . The biggest common factor number is the GCF number.
So the greatest common factor 608,598 is 2.
Lets's calculate LCM of 934,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 374534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/374534
Therefore, the GCF of Fractions 608/934,598/401 is 2/374534
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 934,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,401) x common factors =1 x 1 = 1
LCM(934,401) = ( 934 × 401 ) / 1
LCM(934,401) = 374534 / 1
LCM(934,401) = 374534
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 608,598?
The HCF of 608,598 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 608/934, 598/401?
Answer: GCF of Numerators as per given numbers 608/934, 598/401 is
GCF of Numerators i.e. for 608,598 is 2
LCM of denominators i.e. for 934,401 is 374534.
Thus, GCF of Fractions is 2/374534.Finally, GCF of Fractions for 608/934, 598/401 is 2/374534.