Use our free GCF of Fractions Calculator tool to compute the GCF of 7674/810, 9439/6685 i.e 1/1082970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7674/810, 9439/6685.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7674/810,9439/6685
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 7674/810,9439/6685, numerators are 7674,9439
Denominators are 810,6685
The GCF of 7674,9439 is 1 .
LCM of 810,6685 is 1082970.
The greatest common factor of 7674/810,9439/6685 = [GCF of 7674,9439]/[LCM of 810,6685]= 1/1082970
Therefore, the GCF of 7674/810,9439/6685 is 1/1082970.
To find the highest common factor of 7674,9439, we have to find the factors of both numbers and list the highest common factor.
The factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674
The factors of 9439 are 1, 9439
The HCF of 7674,9439 is 1.
Lets's calculate GCF of 7674,9439
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7674
:1,2,3,6,1279,2558,3837,7674
Now, list down the factors of 9439
:1,9439
Greatest Common Factor
We found the factors 7674,9439 . The biggest common factor number is the GCF number.
So the greatest common factor 7674,9439 is 1.
Lets's calculate LCM of 810,6685
5 | 810, 6685 |
162, 1337 |
∴ So the LCM of the given numbers is 5 x 162 x 1337 = 1082970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1082970
Therefore, the GCF of Fractions 7674/810,9439/6685 is 1/1082970
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 810,6685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,6685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(810,6685) x common factors =5 x 1 = 5
LCM(810,6685) = ( 810 × 6685 ) / 5
LCM(810,6685) = 5414850 / 5
LCM(810,6685) = 1082970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7674,9439?
The HCF of 7674,9439 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 7674/810, 9439/6685?
Answer: GCF of Numerators as per given numbers 7674/810, 9439/6685 is
GCF of Numerators i.e. for 7674,9439 is 1
LCM of denominators i.e. for 810,6685 is 1082970.
Thus, GCF of Fractions is 1/1082970.Finally, GCF of Fractions for 7674/810, 9439/6685 is 1/1082970.