Use our free GCF of Fractions Calculator tool to compute the GCF of 440/516, 761/783 i.e 1/134676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/516, 761/783.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/516,761/783
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 440/516,761/783, numerators are 440,761
Denominators are 516,783
The GCF of 440,761 is 1 .
LCM of 516,783 is 134676.
The greatest common factor of 440/516,761/783 = [GCF of 440,761]/[LCM of 516,783]= 1/134676
Therefore, the GCF of 440/516,761/783 is 1/134676.
To find the highest common factor of 440,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 761 are 1, 761
The HCF of 440,761 is 1.
Lets's calculate GCF of 440,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 440,761 . The biggest common factor number is the GCF number.
So the greatest common factor 440,761 is 1.
Lets's calculate LCM of 516,783
3 | 516, 783 |
172, 261 |
∴ So the LCM of the given numbers is 3 x 172 x 261 = 134676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134676
Therefore, the GCF of Fractions 440/516,761/783 is 1/134676
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 516,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,783) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,783) x common factors =3 x 1 = 3
LCM(516,783) = ( 516 × 783 ) / 3
LCM(516,783) = 404028 / 3
LCM(516,783) = 134676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 440,761?
The HCF of 440,761 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 440/516, 761/783?
Answer: GCF of Numerators as per given numbers 440/516, 761/783 is
GCF of Numerators i.e. for 440,761 is 1
LCM of denominators i.e. for 516,783 is 134676.
Thus, GCF of Fractions is 1/134676.Finally, GCF of Fractions for 440/516, 761/783 is 1/134676.