Use our free GCF of Fractions Calculator tool to compute the GCF of 610/97, 406/1446 i.e 2/140262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/97, 406/1446.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/97,406/1446
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 610/97,406/1446, numerators are 610,406
Denominators are 97,1446
The GCF of 610,406 is 2 .
LCM of 97,1446 is 140262.
The greatest common factor of 610/97,406/1446 = [GCF of 610,406]/[LCM of 97,1446]= 2/140262
Therefore, the GCF of 610/97,406/1446 is 2/140262.
To find the highest common factor of 610,406, 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 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 610,406 is 2.
Lets's calculate GCF of 610,406
2 | 610, 406 |
305, 203 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 610,406 . The biggest common factor number is the GCF number.
So the greatest common factor 610,406 is 2.
Lets's calculate LCM of 97,1446
Given numbers has no common factors except 1. So, there LCM is their product i.e 140262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140262
Therefore, the GCF of Fractions 610/97,406/1446 is 2/140262
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 97,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,1446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,1446) x common factors =1 x 1 = 1
LCM(97,1446) = ( 97 × 1446 ) / 1
LCM(97,1446) = 140262 / 1
LCM(97,1446) = 140262
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 610,406?
The HCF of 610,406 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 610/97, 406/1446?
Answer: GCF of Numerators as per given numbers 610/97, 406/1446 is
GCF of Numerators i.e. for 610,406 is 2
LCM of denominators i.e. for 97,1446 is 140262.
Thus, GCF of Fractions is 2/140262.Finally, GCF of Fractions for 610/97, 406/1446 is 2/140262.