Use our free GCF of Fractions Calculator tool to compute the GCF of 2197/921, 4290/7937 i.e 13/7309977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2197/921, 4290/7937.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2197/921,4290/7937
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 2197/921,4290/7937, numerators are 2197,4290
Denominators are 921,7937
The GCF of 2197,4290 is 13 .
LCM of 921,7937 is 7309977.
The greatest common factor of 2197/921,4290/7937 = [GCF of 2197,4290]/[LCM of 921,7937]= 13/7309977
Therefore, the GCF of 2197/921,4290/7937 is 13/7309977.
To find the highest common factor of 2197,4290, we have to find the factors of both numbers and list the highest common factor.
The factors of 2197 are 1, 13, 169, 2197
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The HCF of 2197,4290 is 13.
Lets's calculate GCF of 2197,4290
13 | 2197, 4290 |
169, 330 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 2197
:1,13,169,2197
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Greatest Common Factor
We found the factors 2197,4290 . The biggest common factor number is the GCF number.
So the greatest common factor 2197,4290 is 13.
Lets's calculate LCM of 921,7937
Given numbers has no common factors except 1. So, there LCM is their product i.e 7309977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7309977
Therefore, the GCF of Fractions 2197/921,4290/7937 is 13/7309977
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 921,7937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,7937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,7937) x common factors =1 x 1 = 1
LCM(921,7937) = ( 921 × 7937 ) / 1
LCM(921,7937) = 7309977 / 1
LCM(921,7937) = 7309977
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2197,4290?
The HCF of 2197,4290 is 13
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 2197/921, 4290/7937?
Answer: GCF of Numerators as per given numbers 2197/921, 4290/7937 is
GCF of Numerators i.e. for 2197,4290 is 13
LCM of denominators i.e. for 921,7937 is 7309977.
Thus, GCF of Fractions is 13/7309977.Finally, GCF of Fractions for 2197/921, 4290/7937 is 13/7309977.