Use our free GCF of Fractions Calculator tool to compute the GCF of 994/891, 639/143 i.e 71/11583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/891, 639/143.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/891,639/143
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 994/891,639/143, numerators are 994,639
Denominators are 891,143
The GCF of 994,639 is 71 .
LCM of 891,143 is 11583.
The greatest common factor of 994/891,639/143 = [GCF of 994,639]/[LCM of 891,143]= 71/11583
Therefore, the GCF of 994/891,639/143 is 71/11583.
To find the highest common factor of 994,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 994,639 is 71.
Lets's calculate GCF of 994,639
71 | 994, 639 |
14, 9 |
∴ So the GCF of the given numbers is 71 = 71
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 994,639 . The biggest common factor number is the GCF number.
So the greatest common factor 994,639 is 71.
Lets's calculate LCM of 891,143
11 | 891, 143 |
81, 13 |
∴ So the LCM of the given numbers is 11 x 81 x 13 = 11583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/11583
Therefore, the GCF of Fractions 994/891,639/143 is 71/11583
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 891,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,143) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(891,143) x common factors =11 x 1 = 11
LCM(891,143) = ( 891 × 143 ) / 11
LCM(891,143) = 127413 / 11
LCM(891,143) = 11583
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 994,639?
The HCF of 994,639 is 71
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 994/891, 639/143?
Answer: GCF of Numerators as per given numbers 994/891, 639/143 is
GCF of Numerators i.e. for 994,639 is 71
LCM of denominators i.e. for 891,143 is 11583.
Thus, GCF of Fractions is 71/11583.Finally, GCF of Fractions for 994/891, 639/143 is 71/11583.