Use our free GCF of Fractions Calculator tool to compute the GCF of 3970/585, 5677/7743 i.e 1/1509885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3970/585, 5677/7743.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3970/585,5677/7743
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 3970/585,5677/7743, numerators are 3970,5677
Denominators are 585,7743
The GCF of 3970,5677 is 1 .
LCM of 585,7743 is 1509885.
The greatest common factor of 3970/585,5677/7743 = [GCF of 3970,5677]/[LCM of 585,7743]= 1/1509885
Therefore, the GCF of 3970/585,5677/7743 is 1/1509885.
To find the highest common factor of 3970,5677, we have to find the factors of both numbers and list the highest common factor.
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The factors of 5677 are 1, 7, 811, 5677
The HCF of 3970,5677 is 1.
Lets's calculate GCF of 3970,5677
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Now, list down the factors of 5677
:1,7,811,5677
Greatest Common Factor
We found the factors 3970,5677 . The biggest common factor number is the GCF number.
So the greatest common factor 3970,5677 is 1.
Lets's calculate LCM of 585,7743
3 | 585, 7743 |
195, 2581 |
∴ So the LCM of the given numbers is 3 x 195 x 2581 = 1509885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1509885
Therefore, the GCF of Fractions 3970/585,5677/7743 is 1/1509885
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 585,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,7743) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,7743) x common factors =3 x 1 = 3
LCM(585,7743) = ( 585 × 7743 ) / 3
LCM(585,7743) = 4529655 / 3
LCM(585,7743) = 1509885
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3970,5677?
The HCF of 3970,5677 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 3970/585, 5677/7743?
Answer: GCF of Numerators as per given numbers 3970/585, 5677/7743 is
GCF of Numerators i.e. for 3970,5677 is 1
LCM of denominators i.e. for 585,7743 is 1509885.
Thus, GCF of Fractions is 1/1509885.Finally, GCF of Fractions for 3970/585, 5677/7743 is 1/1509885.