Use our free GCF of Fractions Calculator tool to compute the GCF of 868/902, 479/649 i.e 1/53218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/902, 479/649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 868/902,479/649
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 868/902,479/649, numerators are 868,479
Denominators are 902,649
The GCF of 868,479 is 1 .
LCM of 902,649 is 53218.
The greatest common factor of 868/902,479/649 = [GCF of 868,479]/[LCM of 902,649]= 1/53218
Therefore, the GCF of 868/902,479/649 is 1/53218.
To find the highest common factor of 868,479, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 479 are 1, 479
The HCF of 868,479 is 1.
Lets's calculate GCF of 868,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 479
:1,479
Greatest Common Factor
We found the factors 868,479 . The biggest common factor number is the GCF number.
So the greatest common factor 868,479 is 1.
Lets's calculate LCM of 902,649
11 | 902, 649 |
82, 59 |
∴ So the LCM of the given numbers is 11 x 82 x 59 = 53218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53218
Therefore, the GCF of Fractions 868/902,479/649 is 1/53218
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 902,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,649) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(902,649) x common factors =11 x 1 = 11
LCM(902,649) = ( 902 × 649 ) / 11
LCM(902,649) = 585398 / 11
LCM(902,649) = 53218
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 868,479?
The HCF of 868,479 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 868/902, 479/649?
Answer: GCF of Numerators as per given numbers 868/902, 479/649 is
GCF of Numerators i.e. for 868,479 is 1
LCM of denominators i.e. for 902,649 is 53218.
Thus, GCF of Fractions is 1/53218.Finally, GCF of Fractions for 868/902, 479/649 is 1/53218.