Use our free GCF of Fractions Calculator tool to compute the GCF of 886/274, 184/876 i.e 2/120012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/274, 184/876.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/274,184/876
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 886/274,184/876, numerators are 886,184
Denominators are 274,876
The GCF of 886,184 is 2 .
LCM of 274,876 is 120012.
The greatest common factor of 886/274,184/876 = [GCF of 886,184]/[LCM of 274,876]= 2/120012
Therefore, the GCF of 886/274,184/876 is 2/120012.
To find the highest common factor of 886,184, 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 184 are 1, 2, 4, 8, 23, 46, 92, 184
The HCF of 886,184 is 2.
Lets's calculate GCF of 886,184
2 | 886, 184 |
443, 92 |
∴ 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 184
:1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 886,184 . The biggest common factor number is the GCF number.
So the greatest common factor 886,184 is 2.
Lets's calculate LCM of 274,876
2 | 274, 876 |
137, 438 |
∴ So the LCM of the given numbers is 2 x 137 x 438 = 120012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120012
Therefore, the GCF of Fractions 886/274,184/876 is 2/120012
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 274,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,876) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,876) x common factors =2 x 1 = 2
LCM(274,876) = ( 274 × 876 ) / 2
LCM(274,876) = 240024 / 2
LCM(274,876) = 120012
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,184?
The HCF of 886,184 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 886/274, 184/876?
Answer: GCF of Numerators as per given numbers 886/274, 184/876 is
GCF of Numerators i.e. for 886,184 is 2
LCM of denominators i.e. for 274,876 is 120012.
Thus, GCF of Fractions is 2/120012.Finally, GCF of Fractions for 886/274, 184/876 is 2/120012.