Use our free GCF of Fractions Calculator tool to compute the GCF of 184/276, 829/302 i.e 1/41676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/276, 829/302.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/276,829/302
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 184/276,829/302, numerators are 184,829
Denominators are 276,302
The GCF of 184,829 is 1 .
LCM of 276,302 is 41676.
The greatest common factor of 184/276,829/302 = [GCF of 184,829]/[LCM of 276,302]= 1/41676
Therefore, the GCF of 184/276,829/302 is 1/41676.
To find the highest common factor of 184,829, we have to find the factors of both numbers and list the highest common factor.
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The factors of 829 are 1, 829
The HCF of 184,829 is 1.
Lets's calculate GCF of 184,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Now, list down the factors of 829
:1,829
Greatest Common Factor
We found the factors 184,829 . The biggest common factor number is the GCF number.
So the greatest common factor 184,829 is 1.
Lets's calculate LCM of 276,302
2 | 276, 302 |
138, 151 |
∴ So the LCM of the given numbers is 2 x 138 x 151 = 41676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41676
Therefore, the GCF of Fractions 184/276,829/302 is 1/41676
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 276,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(276,302) x common factors =2 x 1 = 2
LCM(276,302) = ( 276 × 302 ) / 2
LCM(276,302) = 83352 / 2
LCM(276,302) = 41676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 184,829?
The HCF of 184,829 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 184/276, 829/302?
Answer: GCF of Numerators as per given numbers 184/276, 829/302 is
GCF of Numerators i.e. for 184,829 is 1
LCM of denominators i.e. for 276,302 is 41676.
Thus, GCF of Fractions is 1/41676.Finally, GCF of Fractions for 184/276, 829/302 is 1/41676.