Use our free GCF of Fractions Calculator tool to compute the GCF of 890/685, 658/382 i.e 2/261670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/685, 658/382.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/685,658/382
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 890/685,658/382, numerators are 890,658
Denominators are 685,382
The GCF of 890,658 is 2 .
LCM of 685,382 is 261670.
The greatest common factor of 890/685,658/382 = [GCF of 890,658]/[LCM of 685,382]= 2/261670
Therefore, the GCF of 890/685,658/382 is 2/261670.
To find the highest common factor of 890,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 890,658 is 2.
Lets's calculate GCF of 890,658
2 | 890, 658 |
445, 329 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 890,658 . The biggest common factor number is the GCF number.
So the greatest common factor 890,658 is 2.
Lets's calculate LCM of 685,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 261670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261670
Therefore, the GCF of Fractions 890/685,658/382 is 2/261670
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 685,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,382) x common factors =1 x 1 = 1
LCM(685,382) = ( 685 × 382 ) / 1
LCM(685,382) = 261670 / 1
LCM(685,382) = 261670
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,658?
The HCF of 890,658 is 2
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 890/685, 658/382?
Answer: GCF of Numerators as per given numbers 890/685, 658/382 is
GCF of Numerators i.e. for 890,658 is 2
LCM of denominators i.e. for 685,382 is 261670.
Thus, GCF of Fractions is 2/261670.Finally, GCF of Fractions for 890/685, 658/382 is 2/261670.