Use our free GCF of Fractions Calculator tool to compute the GCF of 637/219, 845/734 i.e 13/160746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/219, 845/734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 637/219,845/734
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 637/219,845/734, numerators are 637,845
Denominators are 219,734
The GCF of 637,845 is 13 .
LCM of 219,734 is 160746.
The greatest common factor of 637/219,845/734 = [GCF of 637,845]/[LCM of 219,734]= 13/160746
Therefore, the GCF of 637/219,845/734 is 13/160746.
To find the highest common factor of 637,845, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 637,845 is 13.
Lets's calculate GCF of 637,845
13 | 637, 845 |
49, 65 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 637,845 . The biggest common factor number is the GCF number.
So the greatest common factor 637,845 is 13.
Lets's calculate LCM of 219,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 160746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/160746
Therefore, the GCF of Fractions 637/219,845/734 is 13/160746
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 219,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,734) x common factors =1 x 1 = 1
LCM(219,734) = ( 219 × 734 ) / 1
LCM(219,734) = 160746 / 1
LCM(219,734) = 160746
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 637,845?
The HCF of 637,845 is 13
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 637/219, 845/734?
Answer: GCF of Numerators as per given numbers 637/219, 845/734 is
GCF of Numerators i.e. for 637,845 is 13
LCM of denominators i.e. for 219,734 is 160746.
Thus, GCF of Fractions is 13/160746.Finally, GCF of Fractions for 637/219, 845/734 is 13/160746.