Use our free GCF of Fractions Calculator tool to compute the GCF of 9214/785, 9821/600 i.e 1/94200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9214/785, 9821/600.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9214/785,9821/600
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 9214/785,9821/600, numerators are 9214,9821
Denominators are 785,600
The GCF of 9214,9821 is 1 .
LCM of 785,600 is 94200.
The greatest common factor of 9214/785,9821/600 = [GCF of 9214,9821]/[LCM of 785,600]= 1/94200
Therefore, the GCF of 9214/785,9821/600 is 1/94200.
To find the highest common factor of 9214,9821, we have to find the factors of both numbers and list the highest common factor.
The factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214
The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821
The HCF of 9214,9821 is 1.
Lets's calculate GCF of 9214,9821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9214
:1,2,17,34,271,542,4607,9214
Now, list down the factors of 9821
:1,7,23,61,161,427,1403,9821
Greatest Common Factor
We found the factors 9214,9821 . The biggest common factor number is the GCF number.
So the greatest common factor 9214,9821 is 1.
Lets's calculate LCM of 785,600
5 | 785, 600 |
157, 120 |
∴ So the LCM of the given numbers is 5 x 157 x 120 = 94200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94200
Therefore, the GCF of Fractions 9214/785,9821/600 is 1/94200
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 785,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,600) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(785,600) x common factors =5 x 1 = 5
LCM(785,600) = ( 785 × 600 ) / 5
LCM(785,600) = 471000 / 5
LCM(785,600) = 94200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9214,9821?
The HCF of 9214,9821 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 9214/785, 9821/600?
Answer: GCF of Numerators as per given numbers 9214/785, 9821/600 is
GCF of Numerators i.e. for 9214,9821 is 1
LCM of denominators i.e. for 785,600 is 94200.
Thus, GCF of Fractions is 1/94200.Finally, GCF of Fractions for 9214/785, 9821/600 is 1/94200.