Use our free GCF of Fractions Calculator tool to compute the GCF of 830/672, 611/298 i.e 1/100128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/672, 611/298.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/672,611/298
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 830/672,611/298, numerators are 830,611
Denominators are 672,298
The GCF of 830,611 is 1 .
LCM of 672,298 is 100128.
The greatest common factor of 830/672,611/298 = [GCF of 830,611]/[LCM of 672,298]= 1/100128
Therefore, the GCF of 830/672,611/298 is 1/100128.
To find the highest common factor of 830,611, we have to find the factors of both numbers and list the highest common factor.
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 611 are 1, 13, 47, 611
The HCF of 830,611 is 1.
Lets's calculate GCF of 830,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 611
:1,13,47,611
Greatest Common Factor
We found the factors 830,611 . The biggest common factor number is the GCF number.
So the greatest common factor 830,611 is 1.
Lets's calculate LCM of 672,298
2 | 672, 298 |
336, 149 |
∴ So the LCM of the given numbers is 2 x 336 x 149 = 100128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100128
Therefore, the GCF of Fractions 830/672,611/298 is 1/100128
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 672,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(672,298) x common factors =2 x 1 = 2
LCM(672,298) = ( 672 × 298 ) / 2
LCM(672,298) = 200256 / 2
LCM(672,298) = 100128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 830,611?
The HCF of 830,611 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 830/672, 611/298?
Answer: GCF of Numerators as per given numbers 830/672, 611/298 is
GCF of Numerators i.e. for 830,611 is 1
LCM of denominators i.e. for 672,298 is 100128.
Thus, GCF of Fractions is 1/100128.Finally, GCF of Fractions for 830/672, 611/298 is 1/100128.