Use our free GCF of Fractions Calculator tool to compute the GCF of 430/908, 331/638 i.e 1/289652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/908, 331/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 430/908,331/638
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 430/908,331/638, numerators are 430,331
Denominators are 908,638
The GCF of 430,331 is 1 .
LCM of 908,638 is 289652.
The greatest common factor of 430/908,331/638 = [GCF of 430,331]/[LCM of 908,638]= 1/289652
Therefore, the GCF of 430/908,331/638 is 1/289652.
To find the highest common factor of 430,331, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 331 are 1, 331
The HCF of 430,331 is 1.
Lets's calculate GCF of 430,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 331
:1,331
Greatest Common Factor
We found the factors 430,331 . The biggest common factor number is the GCF number.
So the greatest common factor 430,331 is 1.
Lets's calculate LCM of 908,638
2 | 908, 638 |
454, 319 |
∴ So the LCM of the given numbers is 2 x 454 x 319 = 289652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289652
Therefore, the GCF of Fractions 430/908,331/638 is 1/289652
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 908,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(908,638) x common factors =2 x 1 = 2
LCM(908,638) = ( 908 × 638 ) / 2
LCM(908,638) = 579304 / 2
LCM(908,638) = 289652
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 430,331?
The HCF of 430,331 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 430/908, 331/638?
Answer: GCF of Numerators as per given numbers 430/908, 331/638 is
GCF of Numerators i.e. for 430,331 is 1
LCM of denominators i.e. for 908,638 is 289652.
Thus, GCF of Fractions is 1/289652.Finally, GCF of Fractions for 430/908, 331/638 is 1/289652.