Use our free GCF of Fractions Calculator tool to compute the GCF of 298/429, 182/143 i.e 2/429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/429, 182/143.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 298/429,182/143
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 298/429,182/143, numerators are 298,182
Denominators are 429,143
The GCF of 298,182 is 2 .
LCM of 429,143 is 429.
The greatest common factor of 298/429,182/143 = [GCF of 298,182]/[LCM of 429,143]= 2/429
Therefore, the GCF of 298/429,182/143 is 2/429.
To find the highest common factor of 298,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 298 are 1, 2, 149, 298
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 298,182 is 2.
Lets's calculate GCF of 298,182
2 | 298, 182 |
149, 91 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 298
:1,2,149,298
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 298,182 . The biggest common factor number is the GCF number.
So the greatest common factor 298,182 is 2.
Lets's calculate LCM of 429,143
11 | 429, 143 |
13 | 39, 13 |
3, 1 |
∴ So the LCM of the given numbers is 11 x 13 x 3 x 1 = 429
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/429
Therefore, the GCF of Fractions 298/429,182/143 is 2/429
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 429,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,143) = 143
common factors(in case of two or more numbers have common factors) = 1
GCF(429,143) x common factors =143 x 1 = 143
LCM(429,143) = ( 429 × 143 ) / 143
LCM(429,143) = 61347 / 143
LCM(429,143) = 429
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 298,182?
The HCF of 298,182 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 298/429, 182/143?
Answer: GCF of Numerators as per given numbers 298/429, 182/143 is
GCF of Numerators i.e. for 298,182 is 2
LCM of denominators i.e. for 429,143 is 429.
Thus, GCF of Fractions is 2/429.Finally, GCF of Fractions for 298/429, 182/143 is 2/429.