Use our free GCF of Fractions Calculator tool to compute the GCF of 10/338, 546/583, 477/915 i.e 1/180304410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/338, 546/583, 477/915.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/338,546/583,477/915
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 10/338,546/583,477/915, numerators are 10,546,477
Denominators are 338,583,915
The GCF of 10,546,477 is 1 .
LCM of 338,583,915 is 180304410.
The greatest common factor of 10/338,546/583,477/915 = [GCF of 10,546,477]/[LCM of 338,583,915]= 1/180304410
Therefore, the GCF of 10/338,546/583,477/915 is 1/180304410.
To find the highest common factor of 10,546,477, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The factors of 477 are 1, 3, 9, 53, 159, 477
The HCF of 10,546,477 is 1.
Lets's calculate GCF of 10,546,477
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Now, list down the factors of 477
:1,3,9,53,159,477
Greatest Common Factor
We found the factors 10,546,477 . The biggest common factor number is the GCF number.
So the greatest common factor 10,546,477 is 1.
Lets's calculate LCM of 338,583,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 180304410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180304410
Therefore, the GCF of Fractions 10/338,546/583,477/915 is 1/180304410
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 338,583,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,583,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,583,915) x common factors =1 x 1 = 1
LCM(338,583,915) = ( 338 × 583 × 915 ) / 1
LCM(338,583,915) = 180304410 / 1
LCM(338,583,915) = 180304410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 10,546,477?
The HCF of 10,546,477 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 10/338, 546/583, 477/915?
Answer: GCF of Numerators as per given numbers 10/338, 546/583, 477/915 is
GCF of Numerators i.e. for 10,546,477 is 1
LCM of denominators i.e. for 338,583,915 is 180304410.
Thus, GCF of Fractions is 1/180304410.Finally, GCF of Fractions for 10/338, 546/583, 477/915 is 1/180304410.