Use our free GCF of Fractions Calculator tool to compute the GCF of 879/425, 876/349 i.e 3/148325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/425, 876/349.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/425,876/349
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 879/425,876/349, numerators are 879,876
Denominators are 425,349
The GCF of 879,876 is 3 .
LCM of 425,349 is 148325.
The greatest common factor of 879/425,876/349 = [GCF of 879,876]/[LCM of 425,349]= 3/148325
Therefore, the GCF of 879/425,876/349 is 3/148325.
To find the highest common factor of 879,876, we have to find the factors of both numbers and list the highest common factor.
The factors of 879 are 1, 3, 293, 879
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The HCF of 879,876 is 3.
Lets's calculate GCF of 879,876
3 | 879, 876 |
293, 292 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 879,876 . The biggest common factor number is the GCF number.
So the greatest common factor 879,876 is 3.
Lets's calculate LCM of 425,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 148325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/148325
Therefore, the GCF of Fractions 879/425,876/349 is 3/148325
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 425,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,349) x common factors =1 x 1 = 1
LCM(425,349) = ( 425 × 349 ) / 1
LCM(425,349) = 148325 / 1
LCM(425,349) = 148325
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 879,876?
The HCF of 879,876 is 3
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 879/425, 876/349?
Answer: GCF of Numerators as per given numbers 879/425, 876/349 is
GCF of Numerators i.e. for 879,876 is 3
LCM of denominators i.e. for 425,349 is 148325.
Thus, GCF of Fractions is 3/148325.Finally, GCF of Fractions for 879/425, 876/349 is 3/148325.