Use our free GCF of Fractions Calculator tool to compute the GCF of 1697/326, 2432/1114 i.e 1/181582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1697/326, 2432/1114.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1697/326,2432/1114
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 1697/326,2432/1114, numerators are 1697,2432
Denominators are 326,1114
The GCF of 1697,2432 is 1 .
LCM of 326,1114 is 181582.
The greatest common factor of 1697/326,2432/1114 = [GCF of 1697,2432]/[LCM of 326,1114]= 1/181582
Therefore, the GCF of 1697/326,2432/1114 is 1/181582.
To find the highest common factor of 1697,2432, we have to find the factors of both numbers and list the highest common factor.
The factors of 1697 are 1, 1697
The factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432
The HCF of 1697,2432 is 1.
Lets's calculate GCF of 1697,2432
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1697
:1,1697
Now, list down the factors of 2432
:1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Greatest Common Factor
We found the factors 1697,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 1697,2432 is 1.
Lets's calculate LCM of 326,1114
2 | 326, 1114 |
163, 557 |
∴ So the LCM of the given numbers is 2 x 163 x 557 = 181582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181582
Therefore, the GCF of Fractions 1697/326,2432/1114 is 1/181582
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 326,1114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,1114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,1114) x common factors =2 x 1 = 2
LCM(326,1114) = ( 326 × 1114 ) / 2
LCM(326,1114) = 363164 / 2
LCM(326,1114) = 181582
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1697,2432?
The HCF of 1697,2432 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 1697/326, 2432/1114?
Answer: GCF of Numerators as per given numbers 1697/326, 2432/1114 is
GCF of Numerators i.e. for 1697,2432 is 1
LCM of denominators i.e. for 326,1114 is 181582.
Thus, GCF of Fractions is 1/181582.Finally, GCF of Fractions for 1697/326, 2432/1114 is 1/181582.