Use our free GCF of Fractions Calculator tool to compute the GCF of 319/658, 607/362 i.e 1/119098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/658, 607/362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 319/658,607/362
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 319/658,607/362, numerators are 319,607
Denominators are 658,362
The GCF of 319,607 is 1 .
LCM of 658,362 is 119098.
The greatest common factor of 319/658,607/362 = [GCF of 319,607]/[LCM of 658,362]= 1/119098
Therefore, the GCF of 319/658,607/362 is 1/119098.
To find the highest common factor of 319,607, we have to find the factors of both numbers and list the highest common factor.
The factors of 319 are 1, 11, 29, 319
The factors of 607 are 1, 607
The HCF of 319,607 is 1.
Lets's calculate GCF of 319,607
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 319
:1,11,29,319
Now, list down the factors of 607
:1,607
Greatest Common Factor
We found the factors 319,607 . The biggest common factor number is the GCF number.
So the greatest common factor 319,607 is 1.
Lets's calculate LCM of 658,362
2 | 658, 362 |
329, 181 |
∴ So the LCM of the given numbers is 2 x 329 x 181 = 119098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119098
Therefore, the GCF of Fractions 319/658,607/362 is 1/119098
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 658,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,362) x common factors =2 x 1 = 2
LCM(658,362) = ( 658 × 362 ) / 2
LCM(658,362) = 238196 / 2
LCM(658,362) = 119098
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 319,607?
The HCF of 319,607 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 319/658, 607/362?
Answer: GCF of Numerators as per given numbers 319/658, 607/362 is
GCF of Numerators i.e. for 319,607 is 1
LCM of denominators i.e. for 658,362 is 119098.
Thus, GCF of Fractions is 1/119098.Finally, GCF of Fractions for 319/658, 607/362 is 1/119098.