Use our free GCF of Fractions Calculator tool to compute the GCF of 163/207, 762/807 i.e 1/55683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 163/207, 762/807.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 163/207,762/807
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 163/207,762/807, numerators are 163,762
Denominators are 207,807
The GCF of 163,762 is 1 .
LCM of 207,807 is 55683.
The greatest common factor of 163/207,762/807 = [GCF of 163,762]/[LCM of 207,807]= 1/55683
Therefore, the GCF of 163/207,762/807 is 1/55683.
To find the highest common factor of 163,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 163 are 1, 163
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 163,762 is 1.
Lets's calculate GCF of 163,762
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 163
:1,163
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 163,762 . The biggest common factor number is the GCF number.
So the greatest common factor 163,762 is 1.
Lets's calculate LCM of 207,807
3 | 207, 807 |
69, 269 |
∴ So the LCM of the given numbers is 3 x 69 x 269 = 55683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55683
Therefore, the GCF of Fractions 163/207,762/807 is 1/55683
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 207,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,807) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,807) x common factors =3 x 1 = 3
LCM(207,807) = ( 207 × 807 ) / 3
LCM(207,807) = 167049 / 3
LCM(207,807) = 55683
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 163,762?
The HCF of 163,762 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 163/207, 762/807?
Answer: GCF of Numerators as per given numbers 163/207, 762/807 is
GCF of Numerators i.e. for 163,762 is 1
LCM of denominators i.e. for 207,807 is 55683.
Thus, GCF of Fractions is 1/55683.Finally, GCF of Fractions for 163/207, 762/807 is 1/55683.