Use our free GCF of Fractions Calculator tool to compute the GCF of 1687/266, 4348/8398 i.e 1/58786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1687/266, 4348/8398.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1687/266,4348/8398
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 1687/266,4348/8398, numerators are 1687,4348
Denominators are 266,8398
The GCF of 1687,4348 is 1 .
LCM of 266,8398 is 58786.
The greatest common factor of 1687/266,4348/8398 = [GCF of 1687,4348]/[LCM of 266,8398]= 1/58786
Therefore, the GCF of 1687/266,4348/8398 is 1/58786.
To find the highest common factor of 1687,4348, we have to find the factors of both numbers and list the highest common factor.
The factors of 1687 are 1, 7, 241, 1687
The factors of 4348 are 1, 2, 4, 1087, 2174, 4348
The HCF of 1687,4348 is 1.
Lets's calculate GCF of 1687,4348
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1687
:1,7,241,1687
Now, list down the factors of 4348
:1,2,4,1087,2174,4348
Greatest Common Factor
We found the factors 1687,4348 . The biggest common factor number is the GCF number.
So the greatest common factor 1687,4348 is 1.
Lets's calculate LCM of 266,8398
2 | 266, 8398 |
19 | 133, 4199 |
7, 221 |
∴ So the LCM of the given numbers is 2 x 19 x 7 x 221 = 58786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58786
Therefore, the GCF of Fractions 1687/266,4348/8398 is 1/58786
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 266,8398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,8398) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(266,8398) x common factors =38 x 1 = 38
LCM(266,8398) = ( 266 × 8398 ) / 38
LCM(266,8398) = 2233868 / 38
LCM(266,8398) = 58786
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1687,4348?
The HCF of 1687,4348 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 1687/266, 4348/8398?
Answer: GCF of Numerators as per given numbers 1687/266, 4348/8398 is
GCF of Numerators i.e. for 1687,4348 is 1
LCM of denominators i.e. for 266,8398 is 58786.
Thus, GCF of Fractions is 1/58786.Finally, GCF of Fractions for 1687/266, 4348/8398 is 1/58786.