Use our free GCF of Fractions Calculator tool to compute the GCF of 1631/709, 6731/5479 i.e 1/3884611 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1631/709, 6731/5479.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1631/709,6731/5479
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 1631/709,6731/5479, numerators are 1631,6731
Denominators are 709,5479
The GCF of 1631,6731 is 1 .
LCM of 709,5479 is 3884611.
The greatest common factor of 1631/709,6731/5479 = [GCF of 1631,6731]/[LCM of 709,5479]= 1/3884611
Therefore, the GCF of 1631/709,6731/5479 is 1/3884611.
To find the highest common factor of 1631,6731, we have to find the factors of both numbers and list the highest common factor.
The factors of 1631 are 1, 7, 233, 1631
The factors of 6731 are 1, 53, 127, 6731
The HCF of 1631,6731 is 1.
Lets's calculate GCF of 1631,6731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1631
:1,7,233,1631
Now, list down the factors of 6731
:1,53,127,6731
Greatest Common Factor
We found the factors 1631,6731 . The biggest common factor number is the GCF number.
So the greatest common factor 1631,6731 is 1.
Lets's calculate LCM of 709,5479
Given numbers has no common factors except 1. So, there LCM is their product i.e 3884611
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3884611
Therefore, the GCF of Fractions 1631/709,6731/5479 is 1/3884611
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 709,5479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,5479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,5479) x common factors =1 x 1 = 1
LCM(709,5479) = ( 709 × 5479 ) / 1
LCM(709,5479) = 3884611 / 1
LCM(709,5479) = 3884611
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1631,6731?
The HCF of 1631,6731 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 1631/709, 6731/5479?
Answer: GCF of Numerators as per given numbers 1631/709, 6731/5479 is
GCF of Numerators i.e. for 1631,6731 is 1
LCM of denominators i.e. for 709,5479 is 3884611.
Thus, GCF of Fractions is 1/3884611.Finally, GCF of Fractions for 1631/709, 6731/5479 is 1/3884611.