Use our free GCF of Fractions Calculator tool to compute the GCF of 658/919, 626/438 i.e 2/402522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 658/919, 626/438.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 658/919,626/438
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 658/919,626/438, numerators are 658,626
Denominators are 919,438
The GCF of 658,626 is 2 .
LCM of 919,438 is 402522.
The greatest common factor of 658/919,626/438 = [GCF of 658,626]/[LCM of 919,438]= 2/402522
Therefore, the GCF of 658/919,626/438 is 2/402522.
To find the highest common factor of 658,626, we have to find the factors of both numbers and list the highest common factor.
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The factors of 626 are 1, 2, 313, 626
The HCF of 658,626 is 2.
Lets's calculate GCF of 658,626
2 | 658, 626 |
329, 313 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Now, list down the factors of 626
:1,2,313,626
Greatest Common Factor
We found the factors 658,626 . The biggest common factor number is the GCF number.
So the greatest common factor 658,626 is 2.
Lets's calculate LCM of 919,438
Given numbers has no common factors except 1. So, there LCM is their product i.e 402522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/402522
Therefore, the GCF of Fractions 658/919,626/438 is 2/402522
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 919,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,438) x common factors =1 x 1 = 1
LCM(919,438) = ( 919 × 438 ) / 1
LCM(919,438) = 402522 / 1
LCM(919,438) = 402522
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 658,626?
The HCF of 658,626 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 658/919, 626/438?
Answer: GCF of Numerators as per given numbers 658/919, 626/438 is
GCF of Numerators i.e. for 658,626 is 2
LCM of denominators i.e. for 919,438 is 402522.
Thus, GCF of Fractions is 2/402522.Finally, GCF of Fractions for 658/919, 626/438 is 2/402522.