Use our free GCF of Fractions Calculator tool to compute the GCF of 985/271, 530/149 i.e 5/40379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/271, 530/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/271,530/149
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 985/271,530/149, numerators are 985,530
Denominators are 271,149
The GCF of 985,530 is 5 .
LCM of 271,149 is 40379.
The greatest common factor of 985/271,530/149 = [GCF of 985,530]/[LCM of 271,149]= 5/40379
Therefore, the GCF of 985/271,530/149 is 5/40379.
To find the highest common factor of 985,530, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 985,530 is 5.
Lets's calculate GCF of 985,530
5 | 985, 530 |
197, 106 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 985,530 . The biggest common factor number is the GCF number.
So the greatest common factor 985,530 is 5.
Lets's calculate LCM of 271,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 40379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/40379
Therefore, the GCF of Fractions 985/271,530/149 is 5/40379
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 271,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,149) x common factors =1 x 1 = 1
LCM(271,149) = ( 271 × 149 ) / 1
LCM(271,149) = 40379 / 1
LCM(271,149) = 40379
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 985,530?
The HCF of 985,530 is 5
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 985/271, 530/149?
Answer: GCF of Numerators as per given numbers 985/271, 530/149 is
GCF of Numerators i.e. for 985,530 is 5
LCM of denominators i.e. for 271,149 is 40379.
Thus, GCF of Fractions is 5/40379.Finally, GCF of Fractions for 985/271, 530/149 is 5/40379.