Use our free GCF of Fractions Calculator tool to compute the GCF of 383/502, 927/316 i.e 1/79316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/502, 927/316.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/502,927/316
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 383/502,927/316, numerators are 383,927
Denominators are 502,316
The GCF of 383,927 is 1 .
LCM of 502,316 is 79316.
The greatest common factor of 383/502,927/316 = [GCF of 383,927]/[LCM of 502,316]= 1/79316
Therefore, the GCF of 383/502,927/316 is 1/79316.
To find the highest common factor of 383,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 383,927 is 1.
Lets's calculate GCF of 383,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 383
:1,383
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 383,927 . The biggest common factor number is the GCF number.
So the greatest common factor 383,927 is 1.
Lets's calculate LCM of 502,316
2 | 502, 316 |
251, 158 |
∴ So the LCM of the given numbers is 2 x 251 x 158 = 79316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79316
Therefore, the GCF of Fractions 383/502,927/316 is 1/79316
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 502,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,316) x common factors =2 x 1 = 2
LCM(502,316) = ( 502 × 316 ) / 2
LCM(502,316) = 158632 / 2
LCM(502,316) = 79316
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 383,927?
The HCF of 383,927 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 383/502, 927/316?
Answer: GCF of Numerators as per given numbers 383/502, 927/316 is
GCF of Numerators i.e. for 383,927 is 1
LCM of denominators i.e. for 502,316 is 79316.
Thus, GCF of Fractions is 1/79316.Finally, GCF of Fractions for 383/502, 927/316 is 1/79316.