Use our free GCF of Fractions Calculator tool to compute the GCF of 9789/137, 8465/9038 i.e 1/1238206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9789/137, 8465/9038.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9789/137,8465/9038
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 9789/137,8465/9038, numerators are 9789,8465
Denominators are 137,9038
The GCF of 9789,8465 is 1 .
LCM of 137,9038 is 1238206.
The greatest common factor of 9789/137,8465/9038 = [GCF of 9789,8465]/[LCM of 137,9038]= 1/1238206
Therefore, the GCF of 9789/137,8465/9038 is 1/1238206.
To find the highest common factor of 9789,8465, we have to find the factors of both numbers and list the highest common factor.
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
The factors of 8465 are 1, 5, 1693, 8465
The HCF of 9789,8465 is 1.
Lets's calculate GCF of 9789,8465
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
Now, list down the factors of 8465
:1,5,1693,8465
Greatest Common Factor
We found the factors 9789,8465 . The biggest common factor number is the GCF number.
So the greatest common factor 9789,8465 is 1.
Lets's calculate LCM of 137,9038
Given numbers has no common factors except 1. So, there LCM is their product i.e 1238206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1238206
Therefore, the GCF of Fractions 9789/137,8465/9038 is 1/1238206
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 137,9038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,9038) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,9038) x common factors =1 x 1 = 1
LCM(137,9038) = ( 137 × 9038 ) / 1
LCM(137,9038) = 1238206 / 1
LCM(137,9038) = 1238206
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9789,8465?
The HCF of 9789,8465 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 9789/137, 8465/9038?
Answer: GCF of Numerators as per given numbers 9789/137, 8465/9038 is
GCF of Numerators i.e. for 9789,8465 is 1
LCM of denominators i.e. for 137,9038 is 1238206.
Thus, GCF of Fractions is 1/1238206.Finally, GCF of Fractions for 9789/137, 8465/9038 is 1/1238206.