Use our free GCF of Fractions Calculator tool to compute the GCF of 886/430, 676/392 i.e 2/84280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/430, 676/392.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/430,676/392
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 886/430,676/392, numerators are 886,676
Denominators are 430,392
The GCF of 886,676 is 2 .
LCM of 430,392 is 84280.
The greatest common factor of 886/430,676/392 = [GCF of 886,676]/[LCM of 430,392]= 2/84280
Therefore, the GCF of 886/430,676/392 is 2/84280.
To find the highest common factor of 886,676, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The HCF of 886,676 is 2.
Lets's calculate GCF of 886,676
2 | 886, 676 |
443, 338 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 886,676 . The biggest common factor number is the GCF number.
So the greatest common factor 886,676 is 2.
Lets's calculate LCM of 430,392
2 | 430, 392 |
215, 196 |
∴ So the LCM of the given numbers is 2 x 215 x 196 = 84280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84280
Therefore, the GCF of Fractions 886/430,676/392 is 2/84280
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 430,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,392) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,392) x common factors =2 x 1 = 2
LCM(430,392) = ( 430 × 392 ) / 2
LCM(430,392) = 168560 / 2
LCM(430,392) = 84280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,676?
The HCF of 886,676 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 886/430, 676/392?
Answer: GCF of Numerators as per given numbers 886/430, 676/392 is
GCF of Numerators i.e. for 886,676 is 2
LCM of denominators i.e. for 430,392 is 84280.
Thus, GCF of Fractions is 2/84280.Finally, GCF of Fractions for 886/430, 676/392 is 2/84280.