Use our free GCF of Fractions Calculator tool to compute the GCF of 807/783, 901/681 i.e 1/177741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/783, 901/681.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/783,901/681
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 807/783,901/681, numerators are 807,901
Denominators are 783,681
The GCF of 807,901 is 1 .
LCM of 783,681 is 177741.
The greatest common factor of 807/783,901/681 = [GCF of 807,901]/[LCM of 783,681]= 1/177741
Therefore, the GCF of 807/783,901/681 is 1/177741.
To find the highest common factor of 807,901, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 901 are 1, 17, 53, 901
The HCF of 807,901 is 1.
Lets's calculate GCF of 807,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 901
:1,17,53,901
Greatest Common Factor
We found the factors 807,901 . The biggest common factor number is the GCF number.
So the greatest common factor 807,901 is 1.
Lets's calculate LCM of 783,681
3 | 783, 681 |
261, 227 |
∴ So the LCM of the given numbers is 3 x 261 x 227 = 177741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177741
Therefore, the GCF of Fractions 807/783,901/681 is 1/177741
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 783,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,681) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,681) x common factors =3 x 1 = 3
LCM(783,681) = ( 783 × 681 ) / 3
LCM(783,681) = 533223 / 3
LCM(783,681) = 177741
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 807,901?
The HCF of 807,901 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 807/783, 901/681?
Answer: GCF of Numerators as per given numbers 807/783, 901/681 is
GCF of Numerators i.e. for 807,901 is 1
LCM of denominators i.e. for 783,681 is 177741.
Thus, GCF of Fractions is 1/177741.Finally, GCF of Fractions for 807/783, 901/681 is 1/177741.