Use our free GCF of Fractions Calculator tool to compute the GCF of 6382/917, 9121/8746 i.e 1/8020082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6382/917, 9121/8746.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6382/917,9121/8746
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 6382/917,9121/8746, numerators are 6382,9121
Denominators are 917,8746
The GCF of 6382,9121 is 1 .
LCM of 917,8746 is 8020082.
The greatest common factor of 6382/917,9121/8746 = [GCF of 6382,9121]/[LCM of 917,8746]= 1/8020082
Therefore, the GCF of 6382/917,9121/8746 is 1/8020082.
To find the highest common factor of 6382,9121, we have to find the factors of both numbers and list the highest common factor.
The factors of 6382 are 1, 2, 3191, 6382
The factors of 9121 are 1, 7, 1303, 9121
The HCF of 6382,9121 is 1.
Lets's calculate GCF of 6382,9121
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6382
:1,2,3191,6382
Now, list down the factors of 9121
:1,7,1303,9121
Greatest Common Factor
We found the factors 6382,9121 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,9121 is 1.
Lets's calculate LCM of 917,8746
Given numbers has no common factors except 1. So, there LCM is their product i.e 8020082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8020082
Therefore, the GCF of Fractions 6382/917,9121/8746 is 1/8020082
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 917,8746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,8746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,8746) x common factors =1 x 1 = 1
LCM(917,8746) = ( 917 × 8746 ) / 1
LCM(917,8746) = 8020082 / 1
LCM(917,8746) = 8020082
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6382,9121?
The HCF of 6382,9121 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 6382/917, 9121/8746?
Answer: GCF of Numerators as per given numbers 6382/917, 9121/8746 is
GCF of Numerators i.e. for 6382,9121 is 1
LCM of denominators i.e. for 917,8746 is 8020082.
Thus, GCF of Fractions is 1/8020082.Finally, GCF of Fractions for 6382/917, 9121/8746 is 1/8020082.