Use our free GCF of Fractions Calculator tool to compute the GCF of 6984/317, 8677/7890 i.e 1/2501130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6984/317, 8677/7890.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6984/317,8677/7890
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 6984/317,8677/7890, numerators are 6984,8677
Denominators are 317,7890
The GCF of 6984,8677 is 1 .
LCM of 317,7890 is 2501130.
The greatest common factor of 6984/317,8677/7890 = [GCF of 6984,8677]/[LCM of 317,7890]= 1/2501130
Therefore, the GCF of 6984/317,8677/7890 is 1/2501130.
To find the highest common factor of 6984,8677, we have to find the factors of both numbers and list the highest common factor.
The factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984
The factors of 8677 are 1, 8677
The HCF of 6984,8677 is 1.
Lets's calculate GCF of 6984,8677
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6984
:1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Now, list down the factors of 8677
:1,8677
Greatest Common Factor
We found the factors 6984,8677 . The biggest common factor number is the GCF number.
So the greatest common factor 6984,8677 is 1.
Lets's calculate LCM of 317,7890
Given numbers has no common factors except 1. So, there LCM is their product i.e 2501130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2501130
Therefore, the GCF of Fractions 6984/317,8677/7890 is 1/2501130
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 317,7890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,7890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,7890) x common factors =1 x 1 = 1
LCM(317,7890) = ( 317 × 7890 ) / 1
LCM(317,7890) = 2501130 / 1
LCM(317,7890) = 2501130
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6984,8677?
The HCF of 6984,8677 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 6984/317, 8677/7890?
Answer: GCF of Numerators as per given numbers 6984/317, 8677/7890 is
GCF of Numerators i.e. for 6984,8677 is 1
LCM of denominators i.e. for 317,7890 is 2501130.
Thus, GCF of Fractions is 1/2501130.Finally, GCF of Fractions for 6984/317, 8677/7890 is 1/2501130.