Use our free GCF of Fractions Calculator tool to compute the GCF of 45/695, 85/817, 726/863 i.e 1/490024345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/695, 85/817, 726/863.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/695,85/817,726/863
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 45/695,85/817,726/863, numerators are 45,85,726
Denominators are 695,817,863
The GCF of 45,85,726 is 1 .
LCM of 695,817,863 is 490024345.
The greatest common factor of 45/695,85/817,726/863 = [GCF of 45,85,726]/[LCM of 695,817,863]= 1/490024345
Therefore, the GCF of 45/695,85/817,726/863 is 1/490024345.
To find the highest common factor of 45,85,726, we have to find the factors of both numbers and list the highest common factor.
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 85 are 1, 5, 17, 85
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 45,85,726 is 1.
Lets's calculate GCF of 45,85,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 45,85,726 . The biggest common factor number is the GCF number.
So the greatest common factor 45,85,726 is 1.
Lets's calculate LCM of 695,817,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 490024345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490024345
Therefore, the GCF of Fractions 45/695,85/817,726/863 is 1/490024345
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 695,817,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,817,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,817,863) x common factors =1 x 1 = 1
LCM(695,817,863) = ( 695 × 817 × 863 ) / 1
LCM(695,817,863) = 490024345 / 1
LCM(695,817,863) = 490024345
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 45,85,726?
The HCF of 45,85,726 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 45/695, 85/817, 726/863?
Answer: GCF of Numerators as per given numbers 45/695, 85/817, 726/863 is
GCF of Numerators i.e. for 45,85,726 is 1
LCM of denominators i.e. for 695,817,863 is 490024345.
Thus, GCF of Fractions is 1/490024345.Finally, GCF of Fractions for 45/695, 85/817, 726/863 is 1/490024345.