Use our free GCF of Fractions Calculator tool to compute the GCF of 143/498, 624/306 i.e 13/25398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/498, 624/306.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 143/498,624/306
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 143/498,624/306, numerators are 143,624
Denominators are 498,306
The GCF of 143,624 is 13 .
LCM of 498,306 is 25398.
The greatest common factor of 143/498,624/306 = [GCF of 143,624]/[LCM of 498,306]= 13/25398
Therefore, the GCF of 143/498,624/306 is 13/25398.
To find the highest common factor of 143,624, we have to find the factors of both numbers and list the highest common factor.
The factors of 143 are 1, 11, 13, 143
The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The HCF of 143,624 is 13.
Lets's calculate GCF of 143,624
13 | 143, 624 |
11, 48 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 143
:1,11,13,143
Now, list down the factors of 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 143,624 . The biggest common factor number is the GCF number.
So the greatest common factor 143,624 is 13.
Lets's calculate LCM of 498,306
2 | 498, 306 |
3 | 249, 153 |
83, 51 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 51 = 25398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/25398
Therefore, the GCF of Fractions 143/498,624/306 is 13/25398
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 498,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,306) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,306) x common factors =6 x 1 = 6
LCM(498,306) = ( 498 × 306 ) / 6
LCM(498,306) = 152388 / 6
LCM(498,306) = 25398
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 143,624?
The HCF of 143,624 is 13
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 143/498, 624/306?
Answer: GCF of Numerators as per given numbers 143/498, 624/306 is
GCF of Numerators i.e. for 143,624 is 13
LCM of denominators i.e. for 498,306 is 25398.
Thus, GCF of Fractions is 13/25398.Finally, GCF of Fractions for 143/498, 624/306 is 13/25398.