Use our free GCF of Fractions Calculator tool to compute the GCF of 5667/980, 5993/8425 i.e 1/1651300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5667/980, 5993/8425.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5667/980,5993/8425
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 5667/980,5993/8425, numerators are 5667,5993
Denominators are 980,8425
The GCF of 5667,5993 is 1 .
LCM of 980,8425 is 1651300.
The greatest common factor of 5667/980,5993/8425 = [GCF of 5667,5993]/[LCM of 980,8425]= 1/1651300
Therefore, the GCF of 5667/980,5993/8425 is 1/1651300.
To find the highest common factor of 5667,5993, we have to find the factors of both numbers and list the highest common factor.
The factors of 5667 are 1, 3, 1889, 5667
The factors of 5993 are 1, 13, 461, 5993
The HCF of 5667,5993 is 1.
Lets's calculate GCF of 5667,5993
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5667
:1,3,1889,5667
Now, list down the factors of 5993
:1,13,461,5993
Greatest Common Factor
We found the factors 5667,5993 . The biggest common factor number is the GCF number.
So the greatest common factor 5667,5993 is 1.
Lets's calculate LCM of 980,8425
5 | 980, 8425 |
196, 1685 |
∴ So the LCM of the given numbers is 5 x 196 x 1685 = 1651300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1651300
Therefore, the GCF of Fractions 5667/980,5993/8425 is 1/1651300
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 980,8425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,8425) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(980,8425) x common factors =5 x 1 = 5
LCM(980,8425) = ( 980 × 8425 ) / 5
LCM(980,8425) = 8256500 / 5
LCM(980,8425) = 1651300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5667,5993?
The HCF of 5667,5993 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 5667/980, 5993/8425?
Answer: GCF of Numerators as per given numbers 5667/980, 5993/8425 is
GCF of Numerators i.e. for 5667,5993 is 1
LCM of denominators i.e. for 980,8425 is 1651300.
Thus, GCF of Fractions is 1/1651300.Finally, GCF of Fractions for 5667/980, 5993/8425 is 1/1651300.