Use our free GCF of Fractions Calculator tool to compute the GCF of 479/883, 984/179 i.e 1/158057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/883, 984/179.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 479/883,984/179
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 479/883,984/179, numerators are 479,984
Denominators are 883,179
The GCF of 479,984 is 1 .
LCM of 883,179 is 158057.
The greatest common factor of 479/883,984/179 = [GCF of 479,984]/[LCM of 883,179]= 1/158057
Therefore, the GCF of 479/883,984/179 is 1/158057.
To find the highest common factor of 479,984, we have to find the factors of both numbers and list the highest common factor.
The factors of 479 are 1, 479
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The HCF of 479,984 is 1.
Lets's calculate GCF of 479,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 479
:1,479
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 479,984 . The biggest common factor number is the GCF number.
So the greatest common factor 479,984 is 1.
Lets's calculate LCM of 883,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 158057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158057
Therefore, the GCF of Fractions 479/883,984/179 is 1/158057
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 883,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,179) x common factors =1 x 1 = 1
LCM(883,179) = ( 883 × 179 ) / 1
LCM(883,179) = 158057 / 1
LCM(883,179) = 158057
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 479,984?
The HCF of 479,984 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 479/883, 984/179?
Answer: GCF of Numerators as per given numbers 479/883, 984/179 is
GCF of Numerators i.e. for 479,984 is 1
LCM of denominators i.e. for 883,179 is 158057.
Thus, GCF of Fractions is 1/158057.Finally, GCF of Fractions for 479/883, 984/179 is 1/158057.