Use our free GCF of Fractions Calculator tool to compute the GCF of 992/213, 2159/4706 i.e 1/1002378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/213, 2159/4706.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/213,2159/4706
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 992/213,2159/4706, numerators are 992,2159
Denominators are 213,4706
The GCF of 992,2159 is 1 .
LCM of 213,4706 is 1002378.
The greatest common factor of 992/213,2159/4706 = [GCF of 992,2159]/[LCM of 213,4706]= 1/1002378
Therefore, the GCF of 992/213,2159/4706 is 1/1002378.
To find the highest common factor of 992,2159, we have to find the factors of both numbers and list the highest common factor.
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The factors of 2159 are 1, 17, 127, 2159
The HCF of 992,2159 is 1.
Lets's calculate GCF of 992,2159
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Now, list down the factors of 2159
:1,17,127,2159
Greatest Common Factor
We found the factors 992,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 992,2159 is 1.
Lets's calculate LCM of 213,4706
Given numbers has no common factors except 1. So, there LCM is their product i.e 1002378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1002378
Therefore, the GCF of Fractions 992/213,2159/4706 is 1/1002378
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 213,4706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,4706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,4706) x common factors =1 x 1 = 1
LCM(213,4706) = ( 213 × 4706 ) / 1
LCM(213,4706) = 1002378 / 1
LCM(213,4706) = 1002378
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 992,2159?
The HCF of 992,2159 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 992/213, 2159/4706?
Answer: GCF of Numerators as per given numbers 992/213, 2159/4706 is
GCF of Numerators i.e. for 992,2159 is 1
LCM of denominators i.e. for 213,4706 is 1002378.
Thus, GCF of Fractions is 1/1002378.Finally, GCF of Fractions for 992/213, 2159/4706 is 1/1002378.