Use our free GCF of Fractions Calculator tool to compute the GCF of 6161/761, 1398/5740 i.e 1/4368140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6161/761, 1398/5740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6161/761,1398/5740
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 6161/761,1398/5740, numerators are 6161,1398
Denominators are 761,5740
The GCF of 6161,1398 is 1 .
LCM of 761,5740 is 4368140.
The greatest common factor of 6161/761,1398/5740 = [GCF of 6161,1398]/[LCM of 761,5740]= 1/4368140
Therefore, the GCF of 6161/761,1398/5740 is 1/4368140.
To find the highest common factor of 6161,1398, we have to find the factors of both numbers and list the highest common factor.
The factors of 6161 are 1, 61, 101, 6161
The factors of 1398 are 1, 2, 3, 6, 233, 466, 699, 1398
The HCF of 6161,1398 is 1.
Lets's calculate GCF of 6161,1398
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6161
:1,61,101,6161
Now, list down the factors of 1398
:1,2,3,6,233,466,699,1398
Greatest Common Factor
We found the factors 6161,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 6161,1398 is 1.
Lets's calculate LCM of 761,5740
Given numbers has no common factors except 1. So, there LCM is their product i.e 4368140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4368140
Therefore, the GCF of Fractions 6161/761,1398/5740 is 1/4368140
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 761,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,5740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,5740) x common factors =1 x 1 = 1
LCM(761,5740) = ( 761 × 5740 ) / 1
LCM(761,5740) = 4368140 / 1
LCM(761,5740) = 4368140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6161,1398?
The HCF of 6161,1398 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 6161/761, 1398/5740?
Answer: GCF of Numerators as per given numbers 6161/761, 1398/5740 is
GCF of Numerators i.e. for 6161,1398 is 1
LCM of denominators i.e. for 761,5740 is 4368140.
Thus, GCF of Fractions is 1/4368140.Finally, GCF of Fractions for 6161/761, 1398/5740 is 1/4368140.