Use our free GCF of Fractions Calculator tool to compute the GCF of 610/366, 770/391 i.e 10/143106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/366, 770/391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/366,770/391
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 610/366,770/391, numerators are 610,770
Denominators are 366,391
The GCF of 610,770 is 10 .
LCM of 366,391 is 143106.
The greatest common factor of 610/366,770/391 = [GCF of 610,770]/[LCM of 366,391]= 10/143106
Therefore, the GCF of 610/366,770/391 is 10/143106.
To find the highest common factor of 610,770, we have to find the factors of both numbers and list the highest common factor.
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The HCF of 610,770 is 10.
Lets's calculate GCF of 610,770
2 | 610, 770 |
5 | 305, 385 |
61, 77 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 610,770 . The biggest common factor number is the GCF number.
So the greatest common factor 610,770 is 10.
Lets's calculate LCM of 366,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 143106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/143106
Therefore, the GCF of Fractions 610/366,770/391 is 10/143106
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 366,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(366,391) x common factors =1 x 1 = 1
LCM(366,391) = ( 366 × 391 ) / 1
LCM(366,391) = 143106 / 1
LCM(366,391) = 143106
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 610,770?
The HCF of 610,770 is 10
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 610/366, 770/391?
Answer: GCF of Numerators as per given numbers 610/366, 770/391 is
GCF of Numerators i.e. for 610,770 is 10
LCM of denominators i.e. for 366,391 is 143106.
Thus, GCF of Fractions is 10/143106.Finally, GCF of Fractions for 610/366, 770/391 is 10/143106.