Use our free GCF of Fractions Calculator tool to compute the GCF of 668/240, 6627/206 i.e 1/24720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/240, 6627/206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 668/240,6627/206
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 668/240,6627/206, numerators are 668,6627
Denominators are 240,206
The GCF of 668,6627 is 1 .
LCM of 240,206 is 24720.
The greatest common factor of 668/240,6627/206 = [GCF of 668,6627]/[LCM of 240,206]= 1/24720
Therefore, the GCF of 668/240,6627/206 is 1/24720.
To find the highest common factor of 668,6627, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 6627 are 1, 3, 47, 141, 2209, 6627
The HCF of 668,6627 is 1.
Lets's calculate GCF of 668,6627
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 6627
:1,3,47,141,2209,6627
Greatest Common Factor
We found the factors 668,6627 . The biggest common factor number is the GCF number.
So the greatest common factor 668,6627 is 1.
Lets's calculate LCM of 240,206
2 | 240, 206 |
120, 103 |
∴ So the LCM of the given numbers is 2 x 120 x 103 = 24720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24720
Therefore, the GCF of Fractions 668/240,6627/206 is 1/24720
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 240,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(240,206) x common factors =2 x 1 = 2
LCM(240,206) = ( 240 × 206 ) / 2
LCM(240,206) = 49440 / 2
LCM(240,206) = 24720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 668,6627?
The HCF of 668,6627 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 668/240, 6627/206?
Answer: GCF of Numerators as per given numbers 668/240, 6627/206 is
GCF of Numerators i.e. for 668,6627 is 1
LCM of denominators i.e. for 240,206 is 24720.
Thus, GCF of Fractions is 1/24720.Finally, GCF of Fractions for 668/240, 6627/206 is 1/24720.