Use our free GCF of Fractions Calculator tool to compute the GCF of 3458/724, 8697/7145 i.e 13/5172980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3458/724, 8697/7145.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3458/724,8697/7145
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 3458/724,8697/7145, numerators are 3458,8697
Denominators are 724,7145
The GCF of 3458,8697 is 13 .
LCM of 724,7145 is 5172980.
The greatest common factor of 3458/724,8697/7145 = [GCF of 3458,8697]/[LCM of 724,7145]= 13/5172980
Therefore, the GCF of 3458/724,8697/7145 is 13/5172980.
To find the highest common factor of 3458,8697, we have to find the factors of both numbers and list the highest common factor.
The factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The HCF of 3458,8697 is 13.
Lets's calculate GCF of 3458,8697
13 | 3458, 8697 |
266, 669 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 3458
:1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Greatest Common Factor
We found the factors 3458,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 3458,8697 is 13.
Lets's calculate LCM of 724,7145
Given numbers has no common factors except 1. So, there LCM is their product i.e 5172980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5172980
Therefore, the GCF of Fractions 3458/724,8697/7145 is 13/5172980
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 724,7145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,7145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,7145) x common factors =1 x 1 = 1
LCM(724,7145) = ( 724 × 7145 ) / 1
LCM(724,7145) = 5172980 / 1
LCM(724,7145) = 5172980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3458,8697?
The HCF of 3458,8697 is 13
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 3458/724, 8697/7145?
Answer: GCF of Numerators as per given numbers 3458/724, 8697/7145 is
GCF of Numerators i.e. for 3458,8697 is 13
LCM of denominators i.e. for 724,7145 is 5172980.
Thus, GCF of Fractions is 13/5172980.Finally, GCF of Fractions for 3458/724, 8697/7145 is 13/5172980.