Use our free GCF of Fractions Calculator tool to compute the GCF of 380/662, 5471/916 i.e 1/303196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 380/662, 5471/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 380/662,5471/916
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 380/662,5471/916, numerators are 380,5471
Denominators are 662,916
The GCF of 380,5471 is 1 .
LCM of 662,916 is 303196.
The greatest common factor of 380/662,5471/916 = [GCF of 380,5471]/[LCM of 662,916]= 1/303196
Therefore, the GCF of 380/662,5471/916 is 1/303196.
To find the highest common factor of 380,5471, we have to find the factors of both numbers and list the highest common factor.
The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
The factors of 5471 are 1, 5471
The HCF of 380,5471 is 1.
Lets's calculate GCF of 380,5471
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 380
:1,2,4,5,10,19,20,38,76,95,190,380
Now, list down the factors of 5471
:1,5471
Greatest Common Factor
We found the factors 380,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 380,5471 is 1.
Lets's calculate LCM of 662,916
2 | 662, 916 |
331, 458 |
∴ So the LCM of the given numbers is 2 x 331 x 458 = 303196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303196
Therefore, the GCF of Fractions 380/662,5471/916 is 1/303196
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 662,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,916) x common factors =2 x 1 = 2
LCM(662,916) = ( 662 × 916 ) / 2
LCM(662,916) = 606392 / 2
LCM(662,916) = 303196
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 380,5471?
The HCF of 380,5471 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 380/662, 5471/916?
Answer: GCF of Numerators as per given numbers 380/662, 5471/916 is
GCF of Numerators i.e. for 380,5471 is 1
LCM of denominators i.e. for 662,916 is 303196.
Thus, GCF of Fractions is 1/303196.Finally, GCF of Fractions for 380/662, 5471/916 is 1/303196.