Use our free GCF of Fractions Calculator tool to compute the GCF of 424/918, 614/635 i.e 2/582930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/918, 614/635.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/918,614/635
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 424/918,614/635, numerators are 424,614
Denominators are 918,635
The GCF of 424,614 is 2 .
LCM of 918,635 is 582930.
The greatest common factor of 424/918,614/635 = [GCF of 424,614]/[LCM of 918,635]= 2/582930
Therefore, the GCF of 424/918,614/635 is 2/582930.
To find the highest common factor of 424,614, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 614 are 1, 2, 307, 614
The HCF of 424,614 is 2.
Lets's calculate GCF of 424,614
2 | 424, 614 |
212, 307 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 614
:1,2,307,614
Greatest Common Factor
We found the factors 424,614 . The biggest common factor number is the GCF number.
So the greatest common factor 424,614 is 2.
Lets's calculate LCM of 918,635
Given numbers has no common factors except 1. So, there LCM is their product i.e 582930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/582930
Therefore, the GCF of Fractions 424/918,614/635 is 2/582930
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 918,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(918,635) x common factors =1 x 1 = 1
LCM(918,635) = ( 918 × 635 ) / 1
LCM(918,635) = 582930 / 1
LCM(918,635) = 582930
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 424,614?
The HCF of 424,614 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 424/918, 614/635?
Answer: GCF of Numerators as per given numbers 424/918, 614/635 is
GCF of Numerators i.e. for 424,614 is 2
LCM of denominators i.e. for 918,635 is 582930.
Thus, GCF of Fractions is 2/582930.Finally, GCF of Fractions for 424/918, 614/635 is 2/582930.