Use our free GCF of Fractions Calculator tool to compute the GCF of 9745/750, 6071/3878 i.e 1/1454250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9745/750, 6071/3878.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9745/750,6071/3878
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 9745/750,6071/3878, numerators are 9745,6071
Denominators are 750,3878
The GCF of 9745,6071 is 1 .
LCM of 750,3878 is 1454250.
The greatest common factor of 9745/750,6071/3878 = [GCF of 9745,6071]/[LCM of 750,3878]= 1/1454250
Therefore, the GCF of 9745/750,6071/3878 is 1/1454250.
To find the highest common factor of 9745,6071, we have to find the factors of both numbers and list the highest common factor.
The factors of 9745 are 1, 5, 1949, 9745
The factors of 6071 are 1, 13, 467, 6071
The HCF of 9745,6071 is 1.
Lets's calculate GCF of 9745,6071
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9745
:1,5,1949,9745
Now, list down the factors of 6071
:1,13,467,6071
Greatest Common Factor
We found the factors 9745,6071 . The biggest common factor number is the GCF number.
So the greatest common factor 9745,6071 is 1.
Lets's calculate LCM of 750,3878
2 | 750, 3878 |
375, 1939 |
∴ So the LCM of the given numbers is 2 x 375 x 1939 = 1454250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1454250
Therefore, the GCF of Fractions 9745/750,6071/3878 is 1/1454250
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 750,3878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,3878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,3878) x common factors =2 x 1 = 2
LCM(750,3878) = ( 750 × 3878 ) / 2
LCM(750,3878) = 2908500 / 2
LCM(750,3878) = 1454250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9745,6071?
The HCF of 9745,6071 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 9745/750, 6071/3878?
Answer: GCF of Numerators as per given numbers 9745/750, 6071/3878 is
GCF of Numerators i.e. for 9745,6071 is 1
LCM of denominators i.e. for 750,3878 is 1454250.
Thus, GCF of Fractions is 1/1454250.Finally, GCF of Fractions for 9745/750, 6071/3878 is 1/1454250.