Use our free GCF of Fractions Calculator tool to compute the GCF of 21/407, 116/366, 687/608 i.e 1/45284448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/407, 116/366, 687/608.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/407,116/366,687/608
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 21/407,116/366,687/608, numerators are 21,116,687
Denominators are 407,366,608
The GCF of 21,116,687 is 1 .
LCM of 407,366,608 is 45284448.
The greatest common factor of 21/407,116/366,687/608 = [GCF of 21,116,687]/[LCM of 407,366,608]= 1/45284448
Therefore, the GCF of 21/407,116/366,687/608 is 1/45284448.
To find the highest common factor of 21,116,687, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 687 are 1, 3, 229, 687
The HCF of 21,116,687 is 1.
Lets's calculate GCF of 21,116,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 687
:1,3,229,687
Greatest Common Factor
We found the factors 21,116,687 . The biggest common factor number is the GCF number.
So the greatest common factor 21,116,687 is 1.
Lets's calculate LCM of 407,366,608
2 | 407, 366, 608 |
407, 183, 304 |
∴ So the LCM of the given numbers is 2 x 407 x 183 x 304 = 45284448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45284448
Therefore, the GCF of Fractions 21/407,116/366,687/608 is 1/45284448
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 407,366,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,366,608) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(407,366,608) x common factors =1 x 2 = 2
LCM(407,366,608) = ( 407 × 366 × 608 ) / 2
LCM(407,366,608) = 90568896 / 2
LCM(407,366,608) = 45284448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,116,687?
The HCF of 21,116,687 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 21/407, 116/366, 687/608?
Answer: GCF of Numerators as per given numbers 21/407, 116/366, 687/608 is
GCF of Numerators i.e. for 21,116,687 is 1
LCM of denominators i.e. for 407,366,608 is 45284448.
Thus, GCF of Fractions is 1/45284448.Finally, GCF of Fractions for 21/407, 116/366, 687/608 is 1/45284448.