Use our free GCF of Fractions Calculator tool to compute the GCF of 424/986, 179/912 i.e 1/449616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/986, 179/912.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/986,179/912
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 424/986,179/912, numerators are 424,179
Denominators are 986,912
The GCF of 424,179 is 1 .
LCM of 986,912 is 449616.
The greatest common factor of 424/986,179/912 = [GCF of 424,179]/[LCM of 986,912]= 1/449616
Therefore, the GCF of 424/986,179/912 is 1/449616.
To find the highest common factor of 424,179, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 179 are 1, 179
The HCF of 424,179 is 1.
Lets's calculate GCF of 424,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 179
:1,179
Greatest Common Factor
We found the factors 424,179 . The biggest common factor number is the GCF number.
So the greatest common factor 424,179 is 1.
Lets's calculate LCM of 986,912
2 | 986, 912 |
493, 456 |
∴ So the LCM of the given numbers is 2 x 493 x 456 = 449616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449616
Therefore, the GCF of Fractions 424/986,179/912 is 1/449616
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 986,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,912) x common factors =2 x 1 = 2
LCM(986,912) = ( 986 × 912 ) / 2
LCM(986,912) = 899232 / 2
LCM(986,912) = 449616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 424,179?
The HCF of 424,179 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 424/986, 179/912?
Answer: GCF of Numerators as per given numbers 424/986, 179/912 is
GCF of Numerators i.e. for 424,179 is 1
LCM of denominators i.e. for 986,912 is 449616.
Thus, GCF of Fractions is 1/449616.Finally, GCF of Fractions for 424/986, 179/912 is 1/449616.