Use our free GCF of Fractions Calculator tool to compute the GCF of 5426/850, 2397/9234 i.e 1/3924450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5426/850, 2397/9234.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5426/850,2397/9234
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 5426/850,2397/9234, numerators are 5426,2397
Denominators are 850,9234
The GCF of 5426,2397 is 1 .
LCM of 850,9234 is 3924450.
The greatest common factor of 5426/850,2397/9234 = [GCF of 5426,2397]/[LCM of 850,9234]= 1/3924450
Therefore, the GCF of 5426/850,2397/9234 is 1/3924450.
To find the highest common factor of 5426,2397, we have to find the factors of both numbers and list the highest common factor.
The factors of 5426 are 1, 2, 2713, 5426
The factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397
The HCF of 5426,2397 is 1.
Lets's calculate GCF of 5426,2397
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5426
:1,2,2713,5426
Now, list down the factors of 2397
:1,3,17,47,51,141,799,2397
Greatest Common Factor
We found the factors 5426,2397 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,2397 is 1.
Lets's calculate LCM of 850,9234
2 | 850, 9234 |
425, 4617 |
∴ So the LCM of the given numbers is 2 x 425 x 4617 = 3924450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3924450
Therefore, the GCF of Fractions 5426/850,2397/9234 is 1/3924450
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 850,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,9234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,9234) x common factors =2 x 1 = 2
LCM(850,9234) = ( 850 × 9234 ) / 2
LCM(850,9234) = 7848900 / 2
LCM(850,9234) = 3924450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5426,2397?
The HCF of 5426,2397 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 5426/850, 2397/9234?
Answer: GCF of Numerators as per given numbers 5426/850, 2397/9234 is
GCF of Numerators i.e. for 5426,2397 is 1
LCM of denominators i.e. for 850,9234 is 3924450.
Thus, GCF of Fractions is 1/3924450.Finally, GCF of Fractions for 5426/850, 2397/9234 is 1/3924450.