Use our free GCF of Fractions Calculator tool to compute the GCF of 979/305, 906/305 i.e 1/305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/305, 906/305.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 979/305,906/305
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 979/305,906/305, numerators are 979,906
Denominators are 305,305
The GCF of 979,906 is 1 .
LCM of 305,305 is 305.
The greatest common factor of 979/305,906/305 = [GCF of 979,906]/[LCM of 305,305]= 1/305
Therefore, the GCF of 979/305,906/305 is 1/305.
To find the highest common factor of 979,906, we have to find the factors of both numbers and list the highest common factor.
The factors of 979 are 1, 11, 89, 979
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The HCF of 979,906 is 1.
Lets's calculate GCF of 979,906
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 979
:1,11,89,979
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 979,906 . The biggest common factor number is the GCF number.
So the greatest common factor 979,906 is 1.
Lets's calculate LCM of 305,305
5 | 305, 305 |
61 | 61, 61 |
1, 1 |
∴ So the LCM of the given numbers is 5 x 61 x 1 x 1 = 305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305
Therefore, the GCF of Fractions 979/305,906/305 is 1/305
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 305,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,305) = 305
common factors(in case of two or more numbers have common factors) = 1
GCF(305,305) x common factors =305 x 1 = 305
LCM(305,305) = ( 305 × 305 ) / 305
LCM(305,305) = 93025 / 305
LCM(305,305) = 305
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 979,906?
The HCF of 979,906 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 979/305, 906/305?
Answer: GCF of Numerators as per given numbers 979/305, 906/305 is
GCF of Numerators i.e. for 979,906 is 1
LCM of denominators i.e. for 305,305 is 305.
Thus, GCF of Fractions is 1/305.Finally, GCF of Fractions for 979/305, 906/305 is 1/305.